In November 2012, he was called up for the first time for the Netherlands national squad, but he did not make his first appearance until October 2015, when he was subbed on for an injured Tim Krul.

[10] It was announced on 27 June 2011 that Zoet joined RKC Waalwijk on loan for the rest of the 2011–12 season, beating out several teams, who were interested in signing him.

[21] In the opening game of the season, Zoet started the match against his parent club, PSV Eindhoven, and helped the side beat them 3–2.

[26] At the end of the 2012–13 season, Zoet went on to make thirty–five appearances in all competitions, having played thirty–three times in the league by being a first choice goalkeeper for RKC Waalwijk once again.

[27] Zoet returned to his parent club PSV at the start of the 2013–14 season following his successful loan spells at RKC Waalwijk.

[30] Prior to this, he attracted the interest of Premier League clubs such as Arsenal and Newcastle, even having the transfer move almost completed, which was never materialised.

[32] He then made his league debut for PSV Eindhoven in the opening game of the season against ADO Den Haag, where they won 3–2.

[33] Zoet then kept three more clean sheets in the next three matches, including helping the side beat Zulte Waregem 3–0 in the return leg to progress to the play–off round.

[39] In the next two matches against Vitesse and Chornomorets Odesa, Zoet suffered a bad luck, conceding the total of seven goals, that saw the club lost two times, and were eliminated in the UEFA Europa League Group Stage.

[41] He continued to regain his form as a first choice goalkeeper in a number of matches, which saw his performance earned praises from Manager Cocu and the media.

[43] At the end of the 2013–14 season, Zoet helped the club finish fourth place, as he went on to make thirty–seven appearances (29 times in the league) in all competitions.

[45] In the 2014–15 season, Zoet continued to remain as the club's first choice goalkeeper and was given a number one shirt following the departure of Tytoń, as well as, fought off competition from new signing Remko Pasveer.

[49] Although he conceded in a number of matches, the side went on a winning streak in the league for several months that saw PSV Eindhoven at the top of the table.

[50] At one point during a 2–1 win over Heracles Almelo on 9 November, Zoet acknowledged his mistakes in the match after he slipped of saved free kick from Oussama Tannane out of his hands, allowing Bryan Linssen to tap inside.

[54] Despite this, the club went on to win the league title for the first time since 2008 after beating SC Heerenveen 4–1 on 22 April 2015; it was the first major trophy of his career.

[55] After being dropped for two matches in favour of Pasveer, Zoet returned to the starting lineup, in a 3–2 win over ADO Den Haag in the last game of the season.

Ahead of the 2015–16 season, Zoet found himself being linked a move away from the club following the departure of Memphis Depay and Georginio Wijnaldum.

[77] It wasn't until on 19 November 2016 when Zoet returned to the starting lineup from injury, in a 0–0 draw against Willem II, earning his fifth clean sheet of the season.

[78] In a follow up match against Atlético Madrid in the UEFA Champions League Group Stage on 23 November 2016, Zoet captained the side for the first time this season, in a 2–0 loss.

[83] Despite this, Zoet continued to remain as the club's first choice goalkeeper and redeem himself by keeping another two clean sheets in two matches between 18 March 2017 and 1 April 2017.

[86] However, started the season poorly when PSV Eindhoven were eliminated in the third qualifying round, in a 2–0 loss against NK Osijek on aggregate.

[88] Zoet captained the side for the first time this season, keeping a clean sheet, in a 4–0 win over SDC Putten in the first round of the KNVB Beker.

[92] Despite the transfer speculation, he continued to remain as the club's first choice goalkeeper and kept three clean sheets in three matches between 27 January 2018 and 7 February 2018.

[93] However, against Willem II on 10 March 2018, Zoet conceded five goals despite making a string of saves, as PSV Eindhoven lost 5–0.

[94] In a follow up match against VVV-Venlo on 17 March 2018, he was able to redeem himself when he helped the side beat them 3–0 and keeping a clean sheet in a process.

Ahead of the 2018–19 season, Zoet was linked a move away from PSV Eindhoven, with Serie A side Napoli keen on signing him, but the club refused to sell him.

[126] In May 2014, Zoet was initially named by Manager Louis van Gaal for the provisional 30-man squad at FIFA World Cup in Brazil.

[128] Zoet made his international debut on 10 October 2015, coming on as a late substitute for the injured Tim Krul in a 2–1 away win against Kazakhstan in a Euro 2016 qualifier.

[129] He then started the whole game in a follow–up match against Czech Republic, where he was fault for conceding the first two goals from the opposition team, as they lost 3–2, therefore ending hopes of qualifying for the UEFA Euro 2016.

[138] In January 2019, Zoet and his girlfriend Rosanne Grasman announced on their social media account that they are expecting their first child, a girl, in June.