The Frenchman made his full Premiership debut in victory over Wolves on Tuesday night.
Obertan told manutd.com: "I think for now I am a true winger. But maybe in the future I could play forward or striker. I like one-v-one - I'm quick and I like to run in behind defenders and create opportunities.
"I think wingers are very important in modern football. In the game against Besiktas [at OT in late November] it was quite difficult because all the players were like defenders. I think the winger's role is important in that type of game."