Stryger made his debut for Brøndby IF starting against FC Nordsjælland in November 2009 before being replaced by Jan Kristiansen after an hour.

[3][4] On 9 July 2013, Stryger joined division rivals FC Nordsjælland on a free transfer, signing a three-year deal.

On 18 June 2014, Stryger was signed by Austrian Football Bundesliga side Austria Wien on a four-year deal.

[11] Stryger was called up to the senior Denmark national team to face Liechtenstein and Armenia in August 2016.

[12] He made his debut in the friendly match against Liechtenstein on 31 August 2016, and he scored the final goal in the Danish 5–0 victory.