The Brazil international earlier this week expressed his "irrevocable" desire to leave the French champions because of a falling-out with Aulas.
The 23-year-old goal-getter, who is currently out with a broken foot, claimed his "cycle at Lyon is finished", but Lacombe believes otherwise.
"I am confident that the president can sort out the situation with Fred, who is currently at Lyon recovering from injury," Lacombe told L'Equipe.
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"There is a financial disagreement, but there exists no problem either with his dispute with [team-mate] Sylvain Wiltord or another player in the team.
"The president is going to sort this out because it is in the interests of the player and the club. It is in the interests of everyone."
Fred, who broke the fifth metatarsal in his foot while on international duty at the Copa America and is still on crutches, is believed to be interesting several European teams, including Spanish side Sevilla.
"The difficulty for him, if he thinks he has clubs interested in him, is that he is injured and suspended from European competition for three games," Lacombe warned.
"And the length of his unavailability is uncertain because his foot injury is very difficult to gauge."
Fred has said: "The dialogue with the president is no longer the same, and it has been like this for a while.
"It is for this reason that I have taken this decision."
Fred, who joined Les Gones from Cruzeiro in 2005, has played eight times for his country.
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