Liverpool have been strongly linked with a move for Mkhitaryan with Reds boss Brendan Rodgers thought to have made him one of his top summer transfer targets.
Reports have suggested Liverpool are closing in on a deal for the attacking midfielder, but Shakhar insist the only bid they have had for Mkhitaryan has been from Borussia Dortmund which they rejected.
It has been suggested Mkhitaryan has a release clause of €22million in his contract, but Palkin claims there is no such clause and it would cost €30million to buy himself out of his contract.
"There is nothing new about Mkhitaryan," Palkin told Football.ua. "I already have said that Borussia Dortmund offered €23 million for him; this was the sole offer. [But] our position is €30 million.
"Mkhitaryan's contract does not specify a compensation payment. Thirty million dollars need to be paid to sever the contract unilaterally.
"If we go with the civilized way and sell a player but he severs the contract, we specify a transfer value of €30million (£25million)."