Mudryk is attracting interest from some of Europe's biggest clubs after putting in some scintillating performances in this season's Champions League.
The 21-year-old scored three goals and provided two assists in Europe's premier club competition.
Arsenal courted Mudryk during the recent transfer window and the Gunners are likely to return with a bid in January.
Mudryk himself has made little of his desire to play for the Premier League leaders.
Shakhtar's director of football Dario Srna has however warned Arsenal and the rest of Mudryk's suitors that he will not come cheap.
"If somebody wants to buy Mudryk, they must pay huge, huge, huge money. Otherwise, the president of the club (Rinat Akhmetov) will not sell him," Srna told The Athletic.
"All the clubs must respect the president, respect Shakhtar and in the end they must respect Mykhaylo Mudryk, who is one of the best players I have seen. The price is so big.
"The market is deciding the price, not me. Antony, Grealish, they are players of more than €100m and for me, Mudryk does not have less quality than them.
"This is the last two transfers in the past year, in more or less the same positions. Sancho from Borussia Dortmund also. We just want respect. The market is deciding the price, not me – it shows which kind of players cost this kind of money."