Shakhtar chief executive Sergei Palkin said the club would consider offers for the £25million-rated Mkhitaryan.
"Henrikh is an important player in our team. Shakhtar wants to keep him, but we are willing to listen and consider all suggestions for a transfer," Palkin told Russian newspaper Izvestia.
"We have already parted with Willian (to Anzhi) and Fernandinho (to Manchester City), but the club will not just sell players.
"In the near future we will also gain quality, designed to replace the leading players, possibly including Henrikh."