Alisson has been strongly linked with both Liverpool and Real Madrid, with the pair believed to be preparing bids at the end of the season.
However, Palotta has insisted that there is 'zero chance' of the 25-year-old leaving Rome in this summer's transfer window.
"We have no intention of selling him," Palotta told Sky Sport Italia. "I mean zero at all. I'm sure some people will probably come in with some bids, but I don't have any interest in selling him, he's a great goalkeeper.
"When we got him, I thought the same thing and as far as I'm concerned, I mean no!"
Alisson, who joined Roma from Internacional in 2016, has kept 19 clean sheets in 42 appearances for his Italian club this season.