The 27-year-old is impressed by the two Premiership sides, but admits he is only willing to move abroad if a club shows enough desire for his signature.
Speculation this week had suggested Liverpool coach Rafael Benitez was set to swoop but Malouda told L´Equipe: "There has been no offer but it´s true there has been direct contact. Liverpool and Chelsea have shown their interest. I don´t know how it´s going to end but in my head I´m going to leave (Lyon)."
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