Cordless Phone Battery

I have an AT&T 5GHz cordless phone. Is it better for the battery to
leave the phone off the charger until it dies or better to try to keep
it on the charger?

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It's not practical to leave the phone off the charger
until the battery dies. Follow manufacturer's instructions.
In the absence of any instructions to the contrary, leave it
in the charger so that it's always ready to go when you need
it. We generally return it to the charger each night, but
sometimes it has stayed out for several days before being
put back in the charger. There has been no discernable difference
in performance over the years.
Ed