Jordan Pickford is set to make his return to action in Saturday's Premier League clash with Norwich at Goodison Park.
The England goalkeeper, sidelined after suffering a shoulder injury sustained against Burnley on September 15, has been back in training, along with full-back Lucas Digne, who sustained a calf issue in Tuesday's Carabao Cup tie at QPR.
Andre Gomes also picked up a calf problem in the cup tie and will not be involved, and the Toffees still have Dominic Calvert-Lewin (quadriceps), Richarlison (knee), Seamus Coleman (hamstring), Jean-Philippe Gbamin (quadriceps) and Fabian Delph (shoulder) unavailable. James Rodriguez has left to join Al-Rayyan.
Centre-back Zimmermann is carrying an ankle problem, while Cantwell remains unavailable because of personal reasons.
Winger Milot Rashica (abductor) faces a late fitness test, while midfielder Mathias Normann (knee) and American forward Josh Sargent (calf/abductor) should return having sat out the midweek Carabao Cup defeat to Liverpool. Przemyslaw Placheta is stepping up his recovery from a pre-season coronavirus infection, with full-back Sam Byram (hamstring) also still not fit.
Everton provisional squad: Pickford, Begovic, Kenny, Holgate, Keane, Digne, Mina, Godfrey, Branthwaite, Allan, Doucoure, Davies, Gray, Townsend, Iwobi, Rondon, Gordon, Simms.
Norwich provisional squad: Krul, Aarons, Gibson, Kabak, Williams, Normann, Gilmour, Lees-Melou, Sargent, Tzolis, Pukki, Gunn, Giannoulis, Hanley, Omobamidele, Mumba, McLean, Dowell, Sorensen, Rashica, Rupp, Idah