Abidal was rendered surplus to requirements at Camp Nou this summer and returned to the Principality based outfit in July, signing a one-year deal.
Speaking in an interview with Mundo Deportivo, the 33-year-old Frenchman, who was out for nearly a year after a liver transplant in April 2012, says he felt he deserved another season in Catalunya for his effort and commitment to the Blaugrana.
"I'm looking forward, always trying to be positive, looking for the bright side of things," he said.
"I would have liked to continue [at Barcelona] at least a year and then would see.
"I believe I deserved that for my effort and believe that I fooled no one. I'm in great shape. I have recovered and believe in my footballing future. Now I will give everything in Monaco and then in the future we'll see.
"We will take on PSG and [Zlatan] Ibrahimovic, you'll see."
Monaco have spent heavily since being acquired by Russian billionaire Dmitry Rybolovlev in December 2011, with some €166 million spent this summer on the likes of Radamel Falcao, James Rodriguez, Joao Moutinho and Geoffrey Kondogbia.
"He's an amazing guy," Abidal said of Rybolovlev.
"A real billionaire and very interested in the team, not on a whim but because he wants to complete a serious project. The other day he took a group of us to Saint Tropez in his private helicopter for a meal."
Monaco play Olympique de Marseille on Sunday after taking seven points from their opening three games on their return to Ligue 1.