While participating in Under-17 World Cup qualification, Browne was spotted and offered a scholarship by St Peter's College in Auckland, New Zealand.

[13] During the 2012 season with Central United, he was then spotted by Auckland City FC of the ASB Premiership because of a partnership between the two clubs.

He also participated in the 2012, 2013, and 2014 FIFA Club World Cups and earned the surprise bronze medal in 2014[11] after beating Mexico's Cruz Azul on penalties,[15] in addition to multiple other league and confederation championships and awards.

[17] Browne turned 17 shortly after the final, making him older than only Víctor Mañón who was part of Mexico's C.F.

After impressing in the showcase, he had the option to join the Nike Football Academy or sign for a professional team in the Netherlands.

[12] He was one of roughly 50 players from around the world who were offered the opportunity to join the academy based at the St George's Park National Football Centre.

[24] Browne played in the reserve side's final match of the season, a 0–4 defeat to Jong SC Cambuur which saw Zwolle finish at the bottom of its group.

[14] In June 2016 it was announced that Browne had been signed by FC Groningen, also of the Eredivisie,[29] in part to be a replacement for the injured attacker Kasper Oldenburger in the reserve team.

[37] In late March 2017 it was announced that Browne and FC Groningen were negotiating a new contract to keep the player at the club for the 2017–18 season.

[39] As preparation for the upcoming season, Browne and the under-23 squad competed in a tournament in Germany in which they finished in fourth place.

[41] Browne was named to Groningen's first team squad for its final match of the 2017 season, an encounter with Sparta Rotterdam on 24 December.

[45] He scored his first goal since his return in a 3–1 win over Tasman United in Auckland City's second game of the season.

However, he also suffered a head collision with opposing goalkeeper Corey Wilson, resulting in a concussion and facial fractures which necessitated an extended period on the sidelines.

[46] Browne returned to action 7 weeks later against the same opposition, Tasman United, scoring two goals in a 3–1 victory helping his side continue their perfect start to the season.

[47] In 2019 Browne was Auckland City's top scorer across all competitions including nine goals in the 2019 OFC Champions League in which the team advanced to the semi-finals.

[58] After drawing the second leg, HJK qualified for the Europa League, where Browne has started all five matches, including two against AS Roma.

[59] In the second meeting in Helsinki, Browne scored a wonder strike in the 79th minute which would have tied the match at 2–2, but was disallowed after a VAR check due to a foul committed in the box.

He was teammates on that team with youth squad captain and future senior international Alwin Komolong.

[66] In January 2017 it was announced that Browne was part of Papua New Guinea's initial 23-man squad for two 2018 FIFA World Cup qualification matches against Tahiti in March.

[67] He arrived at training camp with other overseas-based players a week before the first match and was noted as adding speed and power to the squad.

[71] The Papua New Guinea Football Association appealed to FIFA to rectify what they called, "obvious errors in the referee’s disciplinary decisions...after defender Taumihau Tiatia went down under what appeared to be an innocuous challenge."

[72] Following the review by the Disciplinary Committee, Browne was cleared to play in Papua New Guinea's next match, a qualifier against the Solomon Islands in June 2017.

At the time Papua New Guinea Football Association President John Kapi Natto said that Browne was experiencing passport issues and may never play for the national team again if the problem was not resolved.