Shakhtar Donetsk CEO Sergei Palkin has revealed that Mykhaylo Mudryk has attracted interest from "many clubs".
The 23-year-old has been in imperious form this season, scoring 10 goals and providing eight assists in 18 appearances across all competitions.
Those impressive performances have led to speculation about a potential move away from Shakhtar, despite being under contract until 2026.
A recent report indicated that Arsenal were confident about their chances of signing the winger in the January transfer window, but Shakhtar's CEO has disclosed that there have been talks with a number of clubs.
When he was asked by The Athletic whether Mudryk could leave in January, Palkin said: "To be honest, I do not know.
"At the moment, we are quite far from what we want and what clubs propose. It's not so far but it is not what we need.
"We have discussions. One club, another club, they negotiate. We are in the process. Will it close this month? I don't know.
"It is maybe 50-50 with regards to the winter transfer window. I don't want to talk about figures now. We are in discussions. We have interest from some English clubs and we are in the process.
"Every day, I read about another English club. If you believe the newspapers, it is all of (the English clubs). But to be honest, it is true as I have had contact from many clubs. A lot of them are involved in this process."
While Arsenal are looking to sign Mudryk, there is also thought to be interest from the likes of Manchester United, Manchester City and Newcastle United.