Emery will move on to pastures new having immeasurably enhanced his reputation by leading Almeria to a eighth place finish in their first season in the top flight, leaving Carcedo with a decision to make.
The former Atlético Madrid, Las Palmas and Leganés player is highly thought of by Almeria president Alfonso García Gabarrón and Carcedo has revealed that Gabarrón has offered him the chance to take charge at the Estadio del Mediterraneo.
"The club have indicated that they would like me to continue because they are content with my work," he told Marca.
Almeria's offer isn't the only one on the table, however, as Emery is keen to take his assistant with him to Valencia and Carcedo admitted that he is not yet sure which of the two jobs he will take.
"There is a possibility that I will take charge of the team. I am in talks with Almeria, so I will listen to what they have to say and then make a decision," he affirmed.
If Carcedo elects to join Emery at the Mestalla, then Gabarrón will be forced to look elsewhere for a new head coach. Exit-bound Barcelona second-assistant coach Eusebio Sacristán and Castellon head coach 'Pepe' Murcia are thought to be the primary candidates should that prove to be the case.