Țucudean made his first appearance for the Romania national team in November 2017, and scored his first goal for the country the following year in a 2–1 victory over Israel.

[5] On 14 July 2012, Țucudean netted twice against CFR Cluj in the Supercupa României,[6] with Dinamo eventually winning the trophy at the penalty shoot-out.

[9][10] On 31 January 2013, Țucudean agreed to a four-and-a-half-year contract with Belgian side Standard Liège, where he was wanted by coach Mircea Rednic and was teammate with fellow Romanian Adrian Cristea.

[11][12][13] After failing to score a goal in eleven league games, in the summer of the same year he rejoined Dinamo București on a season-long loan.

[19][20] He ended the 2017–18 season as the top scorer of the league championship, a position he shared with Steaua București striker Harlem Gnohéré.

[23] Shortly after the start of the 2019–20 season, Țucudean temporarily retired from football in order to fully recover after undergoing two heart surgeries earlier in the year.