Rosenberg has made 33 competitive appearances for the Baggies - 24 of which have been as a substitute - since Clarke signed him in the summer of 2012.
The 31-year-old Sweden international has failed to score a single goal in those matches and for the last couple of games he has not been included in the squad.
He was quoted by Swedish football website fotbollskanalen.se this week as saying he has found it hard seeing other frontmen selected ahead of him, that he wants to play football and that he intends to consider his options when the January transfer window comes around.
Asked about Rosenberg on Thursday afternoon, Clarke said: "He should come and have a chat.
"There are a lot of games between now and the January transfer window.
"I'm experienced in the game, Markus is experienced in the game and he knows that things can change quickly in football.
"At the moment he is not getting too many chances and I can understand his frustration."
One West Brom forward who has certainly been having a happier time of it of late than Rosenberg is 20-year-old Saido Berahino.
The England Under-21 international is enjoying a breakthrough campaign which has so far seen him score five goals for his club, including a winner at Manchester United, and four for the Young Lions.
Talks have been ongoing between Albion and Berahino over a new contract and Clarke provided an update on the situation on Thursday.
Speaking ahead of Saturday's Barclays Premier League home clash with Crystal Palace, the Scot said: "Things are progressing.
"The club and his representatives are talking and things are moving in the right direction. It won't be done before this weekend."
Clarke also dismissed talk that winger Graham Dorrans - another player to have been left out of the matchday squad recently - is set for a loan move.
Asked if there was a possibility of Dorrans being loaned out, Clarke said: "No. I involve him in training every day and he works hard.
"I have had a good chat with Graham and he understands the situation. We will keep working together.
"The January window at the moment seems a long way off. I know it's not in terms of weeks, but at the moment, in terms of games, it is a long way off."
One loan deal completed on Thursday saw Albion goalkeeper Lee Camp join Sky Bet Championship club Bournemouth for a month.
The 29-year-old, who signed for West Brom on transfer deadline day on a rolling monthly contract to January, having previously been a free agent, is yet to make a competitive appearance for the Baggies.
West Brom retain the right to recall Camp with immediate effect should Boaz Myhill or Luke Daniels become injured.
They are currently without England goalkeeper Ben Foster, who is sidelined by a stress fracture in his right foot.
Northern Ireland international Camp was at Norwich for the second half of last season and has also played for Nottingham Forest, QPR and Derby.