The Valencia and Spain skipper has been linked with football away from Mestalla all summer, having been considered surplus to requirements of the club and their new coach.
Emery considers that the best solution for all involved parties would be for Albelda to reach an agreement with the club about his departure after all that happened last season.
"There were unpleasant situations that still exist. The best thing for everyone would be for Albelda to leave by mutual agreement and play somewhere," Emery said.
The Valencia coach also reminded reporters that Albelda himself said the same about his situation, while stressing that he had not spoken to the player at that time.
Emery also commented on his relationship with the new chairman, Juan Villalonga, and on the alleged interest in Luis Aragonés.
"Villalonga transmitted a lot of trust. For me, it was enough that he held my hand and hugged me. Enough. And with that, I felt they are convinced that I should be where I am," he noted.
The former Almería boss also spoke of the possible signing of Zaragoza striker Diego Milito, saying: "Everyone that watches football and has followed his path at Zaragoza likes him.
"The problem is that he has a running contract with his club and he has a high release clause, but he has the quality to play at Valencia."
He also spoke about the pending arrival of a new goalkeeper.
"We are looking for a player that knows the Spanish league and speaks Spanish. If he is young and can evolve, that's interesting, if he is more experienced, it's interesting as well," he explained.
"But we also have to take into account their prices. Asenjo, Moyá, Kameni are all good custodians that could adjust our profile one way or the other."
He went on to say that the club have decided to not look for a new right-sided defender: "Alexis is a player that can play on the right flank. Valencia have a great back line and we have to adjust it so that everyone can play.
"Right now, having Miguel Brito, I am not interested in signing another right-back."
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