The injury to Ricketts comes after centre-back Zat Knight suffered a knee injury in the win over Everton on Sunday, which is expected to keep him out for up to six weeks.
Australia midfielder Cahill, 30, scored his 60th goal for Everton in Sunday's victory at Goodison Park in his 216th appearance, and has a reputation for scoring the majority of his goals with his head.
Lukas Podolski's 78th minute strike earned Arsenal a 1-0 win against Stoke City at the Emirates and close the gap on Everton and fourth-place Tottenham (who play West Bromwich Albion on Sunday) to a point.
The Clattenburg case came on the same afternoon as referee Andre Marriner earned the wrath of Everton manager David Moyes, who felt that Uruguay striker Luis Suarez should have been sent off for a bad tackle in Sunday's Merseyside derby against Liverpool, which ended 2-2 at Goodison Park.