The Brazilian winger has been heavily linked with a move to Arsenal, although he's claimed to have offers from Porto and Shakhtar Donetsk as well as at least one from the Premier League.
And a Mineiro director has now confirmed his club are ready to listen to offers - but only those over £22m will be considered.
Speaking to Radio Globo, Maluf said: "The president [Alexandre Kalil] has already made it very clear, if an offer of €25m [£22m] arrives, he is going to sell and we will buy another player.
"If this offer did not appear, Bernard will stay at Atletico. He is young and can leave at the end of the year."
The 20-year-old playmaker was reportedly the subject of attention at the recent Copa Libertadores second-leg final.
Arsenal are thought to have had scouts in attendance in Brazil, and would have no doubt left impressed after the youngster helped Mineiro to overturn a 2-0 deficit and win the trophy on penalties.
But the Gunners are not the only club with an interest in Bernard. Tottenham have been credited with an interest in the past, while Liverpool are also believed to be tracking the Brazil international.
Earlier this week, Bernard admitted he'd received an offer from a Premier League club, but did not reveal the name of the team.