The Colombia international has been linked with a move away from Stamford Bridge after failing to make an impact in Jose Mourinho's first-team.
Cuadrado joined the Blues from Fiorentina for £27million in January, with Mohamed Salah going the opposite way on loan, but is yet to make an impact in west London.
The winger has since been tipped for a Serie A return, with Juventus and Inter Milan believed to be interested.
However, the player's agent insists that Cuadrado will stay in the Premier League, adding that his client has the backing of Mourinho.
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Juan Cuadrado looks set to remain at Chelsea
Juan is fine in London and is very likely to remain at Chelsea
Alessandro Lucci
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Alessandro Lucci told Tuttomercatoweb: "I read with amazement in some English and Italian newspaper about imaginary figures and agents associated with Cuadrado, so I think it's right to clarify the situation.
"Cuadrado is a Chelsea player, strongly backed by Mourinho who believes in him. Juan is fine in London and is very likely to remain at Chelsea. He has interest from other teams but I repeat, Juan is a Chelsea player."