He feels that the club is pricing him out of a move to the other side of the pond.
The centre-back wants to play in the European Championship to increase his chances of being picked for France.
He wants to follow in the footsteps of Drogba, a player with legendary status in his hometown of Marseille.
It was thought that the Foxes would listen to any substantial offers for him from Europe's top clubs, but they have so far rejected two bids from the Blues in the region of $60m.
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Sky Sports News has been told that he is frustrated after learning that the Foxes want a world-record centre-back fee.
It is thought that the club want more than the £80m they sold Harry Maguire for, as he is a better player at his age.
Fofana is not happy with this rationale due to their different careers to date.
At the time of his transfer, he was 26 years old and an established England international, having starred for the side at the World Cup in Russia, and had three full seasons in the top flight.
Fofana is five years younger, not yet capped for France, and has played only one full season in the premier league, having suffered a serious injury in the middle of the season.
Fofana still has five years left on his contract and he still wants to stay professional.
He continues to train with the first team despite playing the full 90 minutes in both games.
He wants the club to be realistic with their valuation of him and not stand in the way of his dream of emulating Drogba in the club's trophy cabinet.
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"If there is interest from another club, that is looked at by the club," said Brendan Rogers after Saturday's defeat atArsenal.
There are not a lot of young defenders around his age. It is important for him to get another year here, but he is calm and relaxed in the situation.
He is aware of what's going on. He knows where we are and where we are going.
The transfer window will close at 11pm on September 1st.
Sky Sports has a dedicated Transfer Centre website where you can keep up-to-date with all the latest news. Sky Sports News gives you the ins, outs and analysis of sports.
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