"There was a bit of confusion at the start, then thankfully the situation was clarified," said Inzaghi.
"I was very pleased to read Muller's compliments to me and I thank him, as these words fill me with pride. He was a fox in the box who lived off the service of his teammates, so we certainly have something in common!"
Inzaghi's next target is the Club World Cup, as the Rossoneri squad fly out to Japan today for the big tournament.
"It would be wonderful to complete the set after scoring this year in both the Champions League Final in Athens and the European Super Cup in Montecarlo.
"This trophy is our primary objective. Since we started out this new era in 2001 with fourth place in Serie A - which at the time seemed very difficult - we have won the Champions League twice and the Scudetto. All we need is the Club World Cup to say we have won everything. It would be fantastic."