Object inherit information API

I would do:

1) Get the pool information from all the virtuals (tmsh list ltm virtual pool)

2) Grep the target pool.

For example, to get the virtuals with the pool "Pool-CentOS80",

curl -sku <user>:<pass> https://<mgmtIp>/mgmt/tm/ltm/virtual?\$select=pool,fullPath | python -m json.tool | grep -B 1 Pool-CentOS80 | grep fullPath

See also the "About query parameters" section (pp. 28-29) of iControl® REST API User Guide

Version 14.1.