The uncapped Frenchman has attracted the interest of the La Liga champions, who have made an approach for the 22-year-old.
Umtiti, who is with his nation at Euro 2016, said his focus was purely on France despite having some interest in Barca.
"Barcelona are a club where many players would like to play," he told L'Equipe.
"But I have a contract with Lyon as every knows and as we have done this season, the option to go to Barcelona is not present."
Umtiti is contracted until mid-2019 with the Ligue 1 giants, having made 38 appearances in all competitions this season.
However, he said his future remained uncertain, with the possibility of moving still a real one.
"Everyone is possible, both to stay and go," Umtiti said.
"Honestly, for the moment, I am concentrating on the European Championship. I want to do the right thing and then we'll talk with my club."