The 21-year-old RB Leipzig forward has scored 37 times for his club over the last two seasons, while also netting seven goals in 10 senior international appearances since his debut last year.
Werner told Four Four Two: “Yes, playing in the Premier League is a dream for me.
"I would like to play for two or three clubs, and Manchester United are one of those clubs. 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. When Alex Ferguson was the coach, United won everything and were outstanding.
“I'm now at a point where at some stage in the future I'd like to play in a team that wins titles."