My client has provided me with admin access to the Apple Developer console. However, when I log in, I am prompted to enroll in the Apple Developer Program. Should I proceed with the enrollment myself, or does the client need to complete the enrollment from their own account?
Question Regarding Enrollment for Apple Developer Account
Should I proceed with the enrollment myself
No. Probably, your client hasn't enrolled you under their account properly.
You've to accept the invitation first to get into App Store Connect through email, check your inbox.