The video which was posted on Snapchat on Sunday afternoon shows Zouma kicking the cat across his kitchen floor and slapping it in the face.
The Royal Society for the Prevention of Cruelty to Animals(RSPCA) condemned the incident and have now moved in to take custody of the animals.
Zouma has been forced to apologise and his club West Ham United have fined him two weeks’ wages totaling £250,000, which will be donated to animal welfare charities.
"The two cats are now in RSPCA care," said a charity spokesperson.
"Our priority is and has always been the wellbeing of these cats.
"They've been taken for a check-up at a vets and then will remain in our care while the investigation continues.
"We're grateful to everyone who expressed their concern for these cats. We were dealing with this issue before the video went viral online and are leading the investigation.
"We continue to investigate so we cannot comment further at this time."