Griezmann's £25m valuation could see him stay at Real Sociedad[GETTY]
The 23-year-old winger has been in fine form for the Txuri-urdin this term, scoring 20 goals and assisting five in all competitions.
Premier League giants Arsenal and Chelsea are known admirers of the France international's services, with the Gunners leading the race for his signature.
"We are following him [Griezmann] in great detail," Emirates boss Arsene Wenger said. "He attracts other clubs as well but we follow him, he is a known commodity."
Transfer Zone - Monday 2 June
It’s not easy to pay £25m for a player and that makes us relatively calm
Jagoba Arrasate
However, Arrasate believes he can keep Griezmann at the La Liga outfit through the summer window due to his high valuation.
Asked about the Frenchman's future, he said: "Right now, as I understand it, he will continue [at Real Sociedad]. He’s a player who has a contract with us.
"It’s not easy to pay €30m (£25m) for a player and that makes us relatively calm."
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