The highly-rated defender is ready to evaluate his future at the end of the season.
“I am very happy that a big team like Barcelona are showing an interest in me,” Marquinhos told Globo Esporte.
“We will evaluate my situation at the end of the season and make a decision.
“Barcelona are a great team that won the Champions League last season. It is very pleasing to be linked with them. It shows that I am doing well.
“For now, I am focused on doing well with PSG until the end of the season. I want to keep on doing a great job. And then we will see what happens.”
Marquinhos has also been linked with a move to Manchester United.