Messi, 33, is free to leave Barcelona at the end of June and could finally complete the move away from the Nou Camp which he was forced to abandon last summer.
The Argentine has been linked with a reunion with former Barca boss Pep Guardiola at Manchester City or a move to PSG – who have increasingly made their intentions clear in recent weeks.
PSG director Leonardo was recently quoted as saying that players such as Messi would “always be on their list” and that the club would “reserve” a seat at the table for negotiations, should the six-time Ballon d’Or winner opt to leave Spain.
Those public overtures from the Qatar-owned French club have enraged Laporta, who is bidding to be re-elected as Barcelona president when the vote is held in March.
“It is disrespectful to Barca that clubs like PSG publicly say they are going to sign Messi. This coming from a club-state that have bypassed the rules. We cannot allow clubs and states the luxury of destabilizing another club,” Laporta said at a news conference on Wednesday.
“In that sense, we will have to speak with UEFA and FIFA to avoid such actions. PSG must abstain from [talking about Messi]. It is out of place for another club to speak about him. And, at the moment, there is no president in place to respond to this lack of respect.”