King left the Foxes last week for Swansea City in a loan deal.
“For Andy, it is a difficult situation because he played 14 years with Leicester, he played 370 games," said Puel.
“He has been a fantastic player for Leicester all these years, but he wanted game-time. I understand this.
“I wish him the best and to enjoy his games with Swansea.
“He's a professional, he's always available, always with a smile, always with a professional attitude.
“It was a difficult situation to manage because he's a good man."