Netherlands attacker Depay joined Barca as a free agent when his Lyon contract expired on July 1 and scored a penalty on his debut in Saturday's 3-1 friendly win over Girona.
The 27-year-old got his career back on track at Lyon following a disappointing spell with Manchester United, scoring 76 goals in 178 appearance for the Ligue 1 side.
Depay played mainly as a centre-forward in the French top flight last season and scored 20 goals – only Paris Saint-Germain star Kylian Mbappe (27) netted more.
He also showed his ability to create for others by laying on 12 assists and creating 94 chances, which were more than any other player managed in Ligue 1 in 2020-21.
And the PSV academy product believes he is capable of playing with ex-Manchester City striker Aguero and Messi, who is expected to sign a new deal to remain at Camp Nou.