The pair have a connection from their days together at Bournemouth, where Iraola sold Kerkez to Liverpool in 2025 for £40M, before following him to Merseyside a year later.
Liverpool suffered their first defeat under the Spaniard last weekend, as under pressure Manchester City secured a 3-0 win at Anfield, with Ryan Gravenberch sent off late on.
Up next for Kerkez and Iraola is a UEFA Champions League test on the road at LASK Linz and the Hungary star is confident the plan is starting to come together.
"The style we're playing right now, I think we're running a lot, playing more aggressively, more front-footed and all the players are buying into his philosophy.
"Of course, there's still a way to go, a way to improve, but I think we are on the right track."