The 22-year-old has been linked to numerous clubs due to his impressive form this season, which has included 16 goals in 33 appearances in all competitions.
Liverpool and Arsenal have been heavily linked with his signature, but it seems that Werner would prefer to play at Old Trafford.
"I would like to play for two or three clubs, and Manchester United are one of those clubs," the young attacker told FourFourTwo. "But probably not in the next few years - later, when my English is a little bit better! I'm very comfortable at RB Leipzig, though.
"Manchester United and Liverpool were the teams I watched quite a lot in England. They were the two that I'm a little bit a fan of, because they have so much history."
Werner joined Leipzig from Stuttgart in 2016.