Mac Allister has two years left on the five-year contract he signed upon joining Liverpool in 2023, and with talks over an extension yet to begin, speculation has mounted that the Argentina international could leave Anfield before the transfer window closes.
Speaking at a news conference in Chicago at the start of Liverpool's pre-season tour of the United States, Iraola dismissed any suggestion he was ready to let the midfielder go.
"I think Alexis has been one of the best players at the club for the last few years, and he has had a very good World Cup, so it is normal that other clubs want our best players," Iraola said.
"It always happens in other markets. But I want to keep my good players. I'm looking forward more to signing new players rather than losing the ones we have here."
Alisson, who has just a year remaining on his own contract and has been linked with a move to Juventus, received similar backing from his head coach. "I'm very happy with the situation we have right now in the goalkeeping area," Iraola said.
"Alisson is someone also in a changing room that has lost some references in terms of experience, I think he's someone that definitely will help us in this process of adaptation of the new signings, of the new players, the young players.
"We need the references like Virgil [van Dijk], like Alisson, like Joe Gomez, players that have been here for a long time."
Iraola also addressed Liverpool's need for defensive reinforcements this summer, particularly at right-back with Conor Bradley still "months" away from playing following the knee injury he sustained in January.
"At the end, if you have a fully fit, healthy Conor Bradley, we are very happy, ready to go and we would not be asking ourselves these questions," the Spaniard explained.
"I think it's a situation that is tricky, because we trust Conor in the long term, we know we want him to be our right-back but right now he is still, I would say, a little bit far from returning.
"So, with the centre-back, with the right-back situation, in terms of defensive depth, we are, I think, very thin right now so I think it's a solution that we are trying to find, yes."