Suarez, 25, has struggled to cement his place at Barca since returning to the club in 2016, spending the second half of last season on loan at Arsenal.
The midfielder made little mark with the Gunners, playing just six times across all competitions as he battled injuries in the closing run of the season.
And he has now made it clear that a return to England is not appealing to him, though he does want to find more playing time away from the Spanish champions.
"What I want is to leave Barca and play," Suarez told El Larguero.
"My goal is to stay in the Spanish league. I have been in Barcelona for two months recovering from the injury and nobody from Barca has told me anything."
Suarez, who is contracted at Camp Nou until 2021, has been linked with a move to Valencia, with the club having confirmed an interest in the player.
General director Mateu Alemany made clear at the end of May that Suarez was among his club's transfer targets, saying: "Our obligation is to be in the market, that list can be very long and Denis Suarez would be one of them."
And the move would seem to be a perfect fit for both club and player.
"Marcelino is the best coach I've ever had. I speak regularly with him," Suarez said.
"It's not true that I rejected Valencia. Valencia have never shown any interest in signing me as they are doing now."
But Valencia may not be the only club interested in landing Suarez.
It has also been reported that Barcelona are not willing to drop their substantial asking price of €20 million (£18m/$23m) for the outcast.