Zoko, 32, initially signed for the Glovers on a short-term deal in November 2015 before extending until the end of the season in January.
Francois has since scored eight goals in 29 appearances for the Glovers.
Francois said: "I am obviously delighted to sign for another year at Yeovil Town.
"I have really enjoyed my time at Huish Park and I am looking forward to working with the manager and his staff next season.
"I hope we can all put some smiles on the supporter's faces next season, it is what the great Yeovil fans deserve."
Manager Darren Way said: "Francois has been a superb signing for Yeovil Town because of the quality that he brings to the team.
"You do not win games without scoring goals and Francois was a crucial part in our relegation battle last season.
"Last year he didn't have a full pre-season, so I am looking forward to working with him to get him a full pre-season under his belt.
"I have been very supportive to him and his family and his family have been very supportive to him in allowing Francois to remain in sunny Somerset for another year."