[3] After progressing through the ranks of the academy, Engels appeared as an unused substitute, in a match against Gent on 29 October 2011, which saw Club Brugge win 5–4.

[4] On 20 September 2012, he made his professional debut in the UEFA Europa League against Girondins de Bordeaux coming on at half-time for Thibaut Van Acker.

[19] In the next match against Standard Liège on 5 October 2014, which Club Brugge won 3–0, Engels suffered both a knee and an ankle injury despite playing the whole game.

[25] Engels finished the 2014–15 season making twelve appearances and scoring three times in all competitions while winning the Belgian Cup.

[28][29] On 10 December 2015, he made his first appearance in a year, coming on as a late substitute in a 1–1 draw against Midtjylland on matchday 6 of the UEFA Europa League Group stage.

[42] After returning to the first team, Engels regained his place for the rest of the season despite suffering from an abductor injury and appearing on the substitute bench.

[47][48] In the summer transfer window of 2017, Engels was linked with a move to English sides Arsenal,[49] Fulham[50] and Stoke City.

Belgian centre-back struck six minutes after half-time, bundling the ball home after a Kostas Fortounis free-kick caused panic in the PAOK penalty box to win three vital points for the defending champions.

[56] On summer 2018, after being told he was not part of new manager Pedro Martins's plans, Engels tried to find a new club to continue his career.

[57] In August 2018, Engels joined Reims, newly promoted to Ligue 1 at the end of the 2017–18 season, on a season-long loan from Olympiacos.

On 28 March 2019, Reims announced they had triggered the option-to-buy clause in Engels’ contract for an estimated €4 million fee following a strong 2018–19 Ligue 1 campaign.

[63] He was in contention for a start once again following his return, but did not receive any playing time, as he had fallen behind Ezri Konsa, Tyrone Mings and Kortney Hause in the pecking order.

[64] On 18 June 2021, Aston Villa announced that a transfer had been agreed for Engels to return to Belgium and join Royal Antwerp.