The 22-year-old has reportedly grown unhappy after Santos passed up the opportunity to purchase the last 10 per cent of his economic rights for €2 million [£1.6m] on Monday.
Ganso turned down Santos' first offer of a new contract, stating he would only discuss his future after the Club World Cup, but there has been no progress regarding a new deal.
"The player's will is the most important thing," Oliveira told reporters at a news conference on Tuesday. "In case Ganso wants to leave Santos and our interests are preserved, we can negotiate.
"But until today, no offer for him has arrived. I let Andre leave [to Dynamo Kiev] in 2010 and I have let other players leave after that, I do not want to slow down anyone's career."
The president of the Copa Libertadores winners then explained that the club are not worried about missing out on taking a majority stake over Ganso's contract rights.
"In fact, nothing has changed," Oliveira added. "Ganso has a contract until 2015, the deal is signed and we want him to stay until the end of it.
"Since the club are not entitled to any sort of compensation after the end of his contract, we understand that the figure we will receive is the same, whether Santos have 45 per cent or 55 per cent [of his economic rights]."
Anzhi Makhachkala, AC Milan and Paris Saint-Germain have all been credited with an interest in the Brazil international in recent months.
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