A gamble on Carlo Ancelotti to become the next Manchester United manager took place on Wednesday.
Ignacio Camacho has ended speculation over his future by signing a new contract at Malaga.
Petkovic's job is reportedly under threat after Sunday's 2-0 defeat to Genoa marked Lazio's fourth loss of the campaign and their first at home.
The Romans have endured a difficult campaign so far and have won just one of their last six league games.
"Petkovic stays put," Lotito said to Gazzetta dello Sport. "The team is behind the coach and to think of an immediate change is the wrong approach.
"This team has the potential to recover the ground we have lost.
"I see what happens inside the club and I don't listen to outside pressures."
Lazio, who are also competing in the Europa League, are seventh in Serie A and visit Parma on Sunday looking for their first win on the road this season.