"Honestly, I want to keep improving and working hard," said Randal Kolo Muani. "It's my dream to play for the big clubs – why not, but right now it's off-topic, I'm with the national team.
"We have two important matches [against Gibraltar and Greece]. The transfer window has just started, we'll see all of that when the international break is over."
Man United are understood to be keeping tabs on the 24-year-old, who enjoyed an outstanding 2022/23 campaign for Frankfurt with 23 goals and 17 assists.
Kolo Muani is currently away with the France squad and stepped off the bench during the second half of Friday night's 3-0 victory over Gibraltar.
The forward was part of France's run to the 2022 World Cup final in Qatar and scored their second goal in their 2-0 semi-final win over Morocco.
