Sort of depends on how old the thing is.
Earlier Zodiacs were hypalon; later ones PVC. I believe the transition was around 1996 (someone correct me on this if they have a surer date.) Hypalon has a very rubber-like feel to it, whereas PVC is more plastic-y. Hyplon is completely opaque, whereas PVC is a little on the translucent side.
If hypalon, there are a lot of glues (two part glues are best, IMO): Bostik 2402, Clifton Hyplon Glue/accelerator; etc.
If PVC, a good quality urethane adhesive should be OK.
Do a web search for "inflatable repair" to get full instructions.
Caveat: Not sure how well these adhesives glue to wood. In any case, all surfaces need to be clean, degreased, abraded, and structurally sound.