AC Milan have been strongly credited with an interest, but Emery has claimed that he wants to sign a new deal in Seville.
"The season is over and now is the time to rest," he told the club's official website.
"We are happy with what we did this season and are happy to have shown the type of football the fans deserve. I've agreed with the President to sit down and talk about a renewal on Wednesday.
"I am very happy here – I've always said that. The fans can rest easy."
Emery took charge of Sevilla in 2013 after leaving Spartak Moscow.