The Armenian star has long been liked with a move to Premier League outfit Liverpool, with Brendan Rodgers including the player in his plans for a £42m summer spending spree.
Dortmund have no leaped to the front of the queue for his signature by tabling a bid for his services, but Palkin has stressed that Shakhtar will accept nothing less than €30m for the 24-year-old, even though he failed to turn out for pre-season training for the Ukraine giants.
“I don’t know where Mkhitaryan is, now; solely his agent knows this," Palkin told Terrikon.
"Borussia offered €23m for the midfielder. I contacted Mkhitaryan’s agent yesterday. I wrote to him about the official position of the club.
"We are prepared to sell Mkhitaryan for €30m; this offer stands for the next 10 days. If Mkhitaryan wishes to leave, they have to pay this amount for him."