feel – 5. have an opinion [transitive not usually in progressive] to have a particular opinion, especially one that is based on your feelings, not on facts
feel (that); Some of the parents felt the school wasn't doing enough about bullying. — LDOCE Longman Dictionary of Contemporary English
feel – 2 a : to be conscious of an inward impression, state of mind, or physical condition
b : to have a marked sentiment or opinion <feels strongly about it> — Merriam-Webster Dictionary
feel – 14 intr. To have the sensibilities excited; esp. to have sympathy with, compassion for (a person, his sufferings, etc.).— Oxford English Dictionary