Mulumbu has been linked with Arsenal this season.
He told France Football: "They (West Brom) are aware of my ambitions for the future. If I have the opportunity to join a more upscale club, I will. I owe West Brom a lot but now I would only go elsewhere to play in the Europa League or Champions League.
"I think it is the right time. I have progressed in my game, my game management, mentally, tactically, physically and I am ready to go to a top-four club.
"Clubs have enquired with West Brom [about a transfer this winter]. There have been approaches. But I do not dwell on it - I leave it for the club and my agent to handle.
"England is my first destination. I feel good here, there is no longer a language barrier. Beyond that, maybe there are opportunities with other clubs in the Champions League."
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