Grossman would not say but it's believed the deal is worth around US$4 million. The contract has an out-clause that lets him return to the NHL next summer.
Markov isn't expected to play his first game until mid-November.
The 31-year-old was an unrestricted free agent. He had 16 points (4-12), a plus-25 rating and 59 penalty minutes in 66 games with the Detroit Red Wings last season.