The Serie A forward has scored nine goals and set up five for his team-mates in 35 appearances this season.
The Reds are likely to be looking for an attacker this summer and the 24-year-old looks to have opened up the possibility of a move to Anfield.
Berardi told Gazzetta dello Sport: "If an offer arrives, be it from Milan or another club, I will evaluate it with my club.
"And if I hear that it is the right proposal, to be taken on the fly, this time I will say to Sassuolo: "I'll take it".'
"Being able to choose, I would play in Liverpool.
"Changing remains difficult for me, but it no longer frightens me, I would do it.
"The next goal is to play in Europe, but at a club where I can be used a lot, if not always. That is my priority."
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