Maybe you can attach something where the piece broke off?
On my 78 Olds, the T handle on the hood release broke off where the
shaft connects to the cable. About 1/2 inch of the shaft of the T handle
was left on the end of the cable.
What I did was make a pull handle out of an aluminum block. I drilled a
1/2 diameter hole in the end of the block, slid it over the broken part
of the shaft of the old T Handle. I had drilled & tapped a side hole
through the aluminum block, then a set screw was run in to hold the
block in place. Worked great, and never broke again.