The 29-year-old is Spain’s undisputed first choice striker, with 13 goals and five assists in his 14 games across 2025-26.
Oyarzabal has impressed at the 2026 World Cup, with four goals and on assist in his six games so far as Spain prepare for a blockbuster semi-final clash against France on Tuesday (July 14).
According to Fichajes, Oyarzabal’s fine international form has caught the attention of Premier League champions Arsenal.
Current club Real Sociedad have no intention of letting him leave, however, with the player not likely to push for a move either.
Speaking to El Chiringuito about recent Barcelona links, Oyarzabal said: "Can you say no to Barcelona? Yes, you can. Of course you can. There are players who have told them no.
"I'm immensely happy in San Sebastian, I consider Real Sociedad my home, it's a place where I can live the life I want with my family. I've always said that I'm where I want to be."