The Argentine great is being linked with Inter Milan this week.
"I do not think that the arrival of Messi can solve the problems of Serie A, which are linked to the bad relationship between debts, high and insufficient collections," Tebas said on a video conference with reporters.
"Serie A's figures are stressed, and these economic problems certainly are not solved by Leo Messi.
"I would like Messi to stay here, but if he leaves it would not be a drama.
"It was said that without Cristiano Ronaldo the league would have lost money, and instead we would have earned it, even in Portugal. Players help but are not essential to a championship."