The 23-year-old returned to Camp Nou in the summer of 2016, with the club taking up a buy-back option included the deal which took him to Villarreal.
Suarez saw regular game time under Luis Enrique, making 36 appearances in all competitions, but faces fierce competition for places.
He is not about to walk away from the challenge, though, and has vowed to be back battling for a starting berth under new Ernesto Valverde in 2017-18.
Suarez told Sport: "Next season I will be at Barca come what may.
“It's a different year, with a new manager and I'm really excited about proving to him that I have a place in the team."
He added: "Like I said when I came back to Barca, I will fight to stay here for many years and to be a first team regular."
While happy to get the opportunity to prove his worth in Catalonia, Suarez’s first season back in familiar surroundings did not go entirely to plan.
While Zinedine Zidane’s side can claim to have secured domestic and European dominance, Suarez is not convinced that the squad at Santiago Bernabeu is any better than that at Camp Nou.
He said: "Madrid don't have a better squad.
“The difference is their second line of players participated more than ours. At the end of the season they rotated a lot, but they aren't at a superior level."