BOSTON — Gov. Deval Patrick said Wednesday he was hopeful that a family fight over the Market Basket grocery store chain that has sparked an employee walkout and a customer boycott can be resolved soon.

Patrick told reporters he was hoping to speak with warring cousins Arthur T. Demoulas, who was ousted as CEO in June, and Arthur S. Demoulas as negotiations reached a “critical point,” with the immediate future of the company and its employees possibly hanging in the balance.

“Nobody wants to have the business remain on its knees this way. Nobody wants to have the people who work for Market Basket out of work especially the rank and file folks who are the folks most in jeopardy,” the governor said after appearing at an unrelated event in Greenfield.

Patrick said his understanding was that the company has continued to pay people for the time they’ve worked.