Preziosi had a two-hour meeting with the Italian tactician following the team's 1-1 draw with Atalanta in Serie A on Saturday.
"For the moment nothing will happen, so you can relax," he told journalists. "We cleared the air a bit.
"I can say that Ballardini has never been in doubt. There are five games left, we will carry on like this."
Genoa are currently second from bottom in the league table.