The Argentina international has been strongly linked with a move to PSG as he enters the final five months of his Camp Nou contract.
Speaking earlier this month, the French giants' sporting director Leonardo publicly admitted that he would like to bring Messi to the Parc des Princes in the summer.
However, Laporta is unhappy with PSG's attempts to unsettle Messi while he is still officially under contract with Barca.
"It is disrespectful to Barca that clubs like PSG publicly say they are going to sign Messi," he told reporters. "This coming from a club-state that have bypassed the rules.
"We cannot allow clubs and states the luxury of destabilising another club.
"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."