The Professional Footballers Association says concussion protocols are failing to prioritize player safety after the injury sustained by Robin Koch in Sunday's loss to Manchester United.
Koch was hit in the head by Scott McTominay.
The German was given the go-ahead to continue with his bandaged head, but was replaced after 31 minutes because of a concussion.
The introduction of temporary substitute was called for by the PFA.
The current rules set by the International Football Association Board are not working, and players are being put at risk, according to the Professional Footballers' Association.
It added that temporary concussion substitute would allow medical teams additional time and an appropriate environment to make an initial assessment, reducing the pressure for affected players and medical teams to make quick decisions.
In a statement on Monday, the club said the medical staff have always been in favor of temporary replacements for head injuries.
Following a clash of heads, Robin Koch passed all of the on-field concussion screening tests that are currently part of the Premier League protocols, according to the club.
The player was told if he developed any symptoms he should sit down on the field of play and be replaced by Robin in the 29th minute of the game.
Koch would follow the concussion protocols before returning to play.
The trial for concussion substitute in December 2020 was approved by Ifab.
The rule allows for a substitution to be made if a player suffers a head injury, even if the team has already used replacements.
The implementation of temporary substitute would be a safer option than the rules, said leading head injury expert Dr Willie Stewart.
The PFA wrote to Ifab in April about incidents last season in which West Ham's Diop and Baldock were allowed to continue playing despite head injuries.
Koch had a cut that appeared to be more serious than the knock itself, according to the manager.
If the cut is the most significant thing, then I acted in accordance to that.
"The 'if in doubt, sit them out' protocol is not being applied consistently within the pressurised environment of elite competitive football," the PFA said on Monday.
Frequent incidents of players returning to play with a potential brain injury, only to be removed shortly afterwards once symptoms start to get worse, is what we see.
As the representative voice of players in England, we want to see the introduction of temporary concussion replacements.
Headway said that the situation has left them completely frustrated and that urgent answers are needed from the league.
Medics have a hard time making on-pitch concussion assessments. Headway's deputy chief executive said that the game has to help them by implementing concussion replacements.
It is hard to believe that if they had 10 minutes to assess the player in the quiet confines of the dressing room that they would conclude that he was fit to continue.
The days of Terry Butcher soldiering on with a bloody bandage are over. patch them up and then get them back out there with head injuries. Players need to be protected.