Chelsea were linked with midfielder Kessie during the January transfer window.
He has been dubbed the 'next Yaya Toure', with reports in Italy last month claiming Atalanta were inflating his price in an effort to cash in on big money for the 20-year-old.
Didier Drogba snapped watching Chelsea's clash with Arsenal
Sat, February 4, 2017
Didier Drogba returned to Stamford Bridge this weekend as he watched Chelsea beat Arsenal 3-1
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Didier Drogba watches Chelsea's win over Arsenal
I’m very flattered that clubs of that level are interested in me
Arsenal and Liverpool have also been loosely linked to the Ivorian.
But French magazine So Foot claim Chelsea are frontrunners for the player and asked him directly about interest from abroad.
“I’ve read things in the media,” Kessie told the magazine's website.
Chelsea want to sign Franck Kessie (right)
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Kessie admits he is 'flattered' by interest from big European clubs
Kessie has become a mainstay in Atalanta's XI this season
“I’m very flattered that clubs of that level are interested in me, that proves I’ve had a good season and I’m continuing to progress.
“I don’t want to go to fast. I don’t know if my club has had any offers, and I’m under contract. We’ll see if there’s anything we need to discuss.
“I like Bergamo, the city is nice and it’s quiet. I appreciate life in Italy, where I’ve been welcomed.”