Parker missed the 3-0 defeat by Arsenal with an ankle problem but has been passed fit to face the Toffees.
Great Scott: Parker (right) is set to slot back into starting XI
Lars Jacobsen (heal), Manuel Da Costa (ankle) and Thomas Hitzlsperger (thigh) are injured while Victor Obinna is suspended.
Team (from): Green, Faubert, Jacobsen, Bridge, Tomkins, Reid, Gabbidon, McCarthy, Upson, Spector, Sears, Hines, Noble, Kovac, Parker, Piquionne, Cole, Boffin, Boa Morte, Nouble, Spence.
CLICK HERE FOR THE WEEKEND TEAM NEWS IN THE BARCLAYS PREMIER LEAGUE Explore more:People: Thomas Hitzlsperger, Lars Jacobsen