The Hammers are in the process of drawing up a list of possible targets for the January transfer window.
Ayew is believed to be in Sam Allardyce's thoughts, with the 22-year-old having already shown what he is capable of on the grandest of stages.
The Ghana international has already made well over 150 senior appearances in his career and was among those to catch the eye as the Black Stars reached the quarter-finals of the 2010 World Cup.
A switch to England has been touted for some time, and Ayew has now revealed that a transfer door could be opened if a bid is received and Marseille are prepared to listen.
He has also hinted that his younger brother Jordan, who has also been linked with West Ham, could join him in heading for the exits at Stade Velodrome.
"We are very interested in playing abroad one day in our career," said Ayew.
"There is no official bid from West Ham and if there is a possibility of one arriving, we will speak to our advisors.
"West Ham are an excellent team."