Vardy will, however, be looking to make his presence felt in a return date at the King Power Stadium on Tuesday, with Godin fully aware of the threat posed by the England international.
He told the Daily Mail: “He is a great player.
“He fights and competes in every game and never gives a single ball up for lost. A striker like that is fundamental for a team that plays the way Leicester do. They wouldn’t be the Leicester we know without him.
Pressed on whether he would make an Atletico side that already includes Antoine Griezmann up top, Godin added: “Of course he would.
“I think he would fit in at the vast majority of teams in the world. Who wouldn’t want a striker who kills himself for the team and then gives you so many attacking solutions?”
Vardy has netted 13 times in all competitions this season, with only one of those efforts coming in Europe.
It was, however, his 24-goal haul that helped Leicester to secure a remarkable Premier League title triumph last season and he remains a fearsome frontman when in the right frame of mind.
Uruguay international Godin will be charged with the task of keeping him quiet in midweek, with the 31-year-old a vastly-experienced defender who has tested himself against the best forwards in the world down the years.