Both clubs have been in contact with Malouda about an £8million summer switch.
Malouda said: “I have talked with Lyon officials. There are no offers yet, but there has been direct contact.
“Liverpool and Chelsea have shown interest.
“I don’t know how it will be finalised. But in my mind it is certain I will leave.
“At Chelsea there is Didier Drogba and all the rest. But at Liverpool, Rafa Benitez is a great coach and the team has played in two Champions League finals in three years.
“The most important thing will be the desire shown by the club. To move abroad, you really have to be wanted.
“It will still need some time. But if the deal is good for Lyon, I believe they won’t try to keep me.”
Malouda has also been linked with Arsenal, AC Milan and Juventus.
