Rosenberg has struggled to make an impact at The Hawthorns since he signed from Werder Bremen in the summer, and Clarke has acknowledged that the club could agree to allow the Swedish international to seek a new club.
The 49-year-old told the Birmingham Mail: "I'm sure between now and the end of this season or now and the start of next season, we will sit down and discuss his future.
"He's not the type of person to sit on the bench and pick up his money.
"It's a conversation that, at some stage, we will have to decide what is best for Markus and what's the best thing for West Bromwich Albion."
The 30-year-old forward has failed to score in 14 Premier League appearances.