Premier League clubs will be subjected to no-notice spot-checks to ensure they are complying with pandemic training protocols, while the league has also committed to making every positive Covid-19 test public knowledge.
The 20 top-flight clubs unanimously agreed the protocols for small group training to resume from Tuesday and will gather again on May 26 to discuss protocols for contact training, which will be the clearest signpost as to when the Premier League can actually restart and will require further consultation with players and managers.
June 12 has been mentioned as a start date, but the league's chief executive Richard Masters has said that was only ever to be treated as a "staging post".
An FMPA statement said that "almost 50 per cent" of respondents within the Premier League raised concerns, with that number rising to 68 per cent in the Football League.
FMPA chief executive Eamonn Salmon said: "It is clear that members do not feel they have been effectively communicated with.
"It is also unfortunate that the FMPA was not asked to consult its members alongside the League Managers Association and Professional Footballers Association throughout this process.
"I believe this sent the wrong message to our members and implied, unwittingly or not, that their views were not required. As frontline staff who are implementing these strategies, their collective views should have been heard."
Salmon said the FMPA was yet to receive a copy of the medical protocol from either the Premier League or the EFL.