PF make a "request" on the FCU/MCDU/Autothrust, then s/he has to monitor the "demand" on the PDF/ND and finally check the "response" on the basic instruments.
Announce your intentions about the "request" is not mandatory unless is a company SOP. You must call out any change on the FMA to inform the other pilot about the "demand" to the autoflight system (AP/FD). FMA announcements are/aren't acknowledged according to the company SOP,s. This does not alleviate PM from checking his FMA and challenging an incorrect call or an inconsistency.
And finally the most important:
FCTM
Fly "Fly" indicates that: ‐ The Pilot Flying (PF) must concentrate on "flying the aircraft" to monitor and control the pitch attitude, bank angle, airspeed, thrust, sideslip, heading, etc., in order to achieve and maintain the desired targets, vertical flight path, and lateral flight path. ‐ The Pilot Monitoring (PM) must assist the PF and must actively monitor flight parameters, and call out any excessive deviation