Arnautovic played with Crouch at Stoke from 2013 until the summer of 2017 before making the move to Premier League rivals West Ham for an initial transfer fee reported by The Guardian to be worth £20 million.
Crouch, who joined the Potters from Tottenham Hotspur in the summer of 2011 for a transfer fee reported by BBC Sport to be worth £12m, has spoken highly of the 28-year-old Austria international, who can operate as a forward or as a winger.
The 37-year-old former Liverpool striker has stated that he always knew that Arnautovic would do well at West Ham, just as he has done.
Crouch wrote in The Daily Mail: “Marko Arnautovic has been a big loss for us this season. I knew he would do well at West Ham because he is the kind of maverick, like Paolo di Canio or Dimitri Payet, who thrives at that club.
“Marko has a big talent and, on his day, he is up there with the best players in the Premier League. I got on well with Marko. He is a bit different and some people found it hard to take to him but I never had a problem."
Big game on Monday
Arnautovic will be a key player for West Ham on Monday evening when the Hammers take on Stoke at the London Stadium in the Premier League.
With both West Ham and Stoke struggling for survival in the English top flight, the match is hugely important for the two teams.
The Austria international has scored nine goals and provided four assists in 22 Premier League starts for West Ham so far this season.