Moruțan went on to amass over 140 appearances in the top tier for Botoșani and FCSB combined in the following seasons, before moving abroad at age 22 to sign for Galatasaray in Turkey.

[16] In the second leg in Bucharest on 2 August, he netted a goal after dribbling past several opponents and offered an assist as his team won 4–0,[17] which earned him praise from owner George Becali.

[26] FCSB ultimately lost the title as well as the postponed 2020 Supercupa României to the latter opponent, but Moruțan rose to prominence individually after totalling eight goals and eleven assists in the league.

[30] Moruțan made his debut on the 29th that month in a 2–2 Süper Lig draw at Kasımpaşa, in which he assisted the opener of compatriot Alexandru Cicâldău and contributed to the second goal.

[37] On 20 August 2023, Moruțan signed a three-year contract with the option of another year with fellow Süper Lig team Ankaragücü for an initial €3 million transfer fee.

[39] Moruțan was selected by head coach Adrian Mutu for the 2021 UEFA European Under-21 Championship, playing in all three matches against the Netherlands, Hungary, and Germany.

[40][41] Moruțan earned his first cap for the full side on 11 October 2021, coming on for goal scorer Alexandru Mitriță in a 1–0 success over Armenia in the 2022 FIFA World Cup qualifiers.

[44] Moruțan is capable of playing in several advanced midfield positions, and during his time at Botoșani was regarded by former international Dan Petrescu as Romania's future number 10.