Hurd, who is currently steering AMC's The Walking Dead, produced the first three movies in the Terminator saga before handing it over to Halcyon for 2009's Terminator Salvation. The company filed for bankruptcy soon after the last film's release and the screen rights are now held by hedge fund Pacificor.
Hurd told Entertainment Weekly that she feels "sad" about the demise of the series she co-created with James Cameron.
"You feel like you gave birth to something and it's been adopted and those adoptions haven't worked out," she explained. "Of course I'd be interested in doing another one. I'd love it."
The Terminator film franchise has grossed more than $1.4 billion at the worldwide box office and spawned the short-lived TV series, The Sarah Connor Chronicles.