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The Gunners confirmed last month that they would not be offering Cazorla, 33, an extension and that he would leave on the expiration of his contract.
Standard Sport understands that Villarreal have also indicated a willingness to allow Cazorla to train with them over the summer though no club have as yet indicated they will offer him a new contract, something which Arsenal believed would be a major risk even after he returned to first team training in the final weeks of last season.
Whilst Cazorla visits Mikel Sanchez, the surgeon responsible for his recovery, in the Basque Country he has taken the opportunity to train with one of the local teams.
“I am grateful to Alaves for the facilities they have offered to me,” Cazorla said.
“The facilities here are very good and they’re even doing work to improve them further.
“[The youth teams and I] have had a nice experience. I tried to make sure they enjoyed the experience.”
Cazorla evidently had an impact on the Alaves training pitches, with coach Inaki Alonso saying thanking him “for sharing, experiences, rondos [passing drills], high-performance sessions and even match preparation… Thank you for your gratitude to the boys.”