The 21-year-old had an impressive campaign at FC Swiss last season, scoring 14 goals in 22 appearances.
According to reports, Brighton's manager Chris Hughton who has Ghanaian roots, made a £8m offer to sign Dwamena from the Swiss side.
“I have not heard anything yet. I am currently a FC Zurich player, but anything can happen quickly in football. I’m still very young,” Dwamena was quoted as saying by Ghanasoccernet.com.
According to FC Zurich President Ancillo Canepa, the club are not prepared to release the Ghanaian since they are financially sound.
"We've always had inquiries for him on the table, and yes, we currently have an offer from England but we do not want to sell him for sporting reasons," Canepa said.
"Sure, when a certain scale is reached, you have to do the business as a Swiss club for economic reasons.
"So I do not want to exclude a sale, but so far there is no offer at a financial level where I would be nervous.
"We have no economic need to surrender to Dwamena so easily as expected."
Dwamena made his debut for Ghana in June when he scored twice for the Black Stars in an 5-0 victory over Ethiopia in the 2019 Africa Cup of Nations qualifiers at the Baba Yara Sports Stadium in Kumasi.