Clampers in Dublin are being told by the city council to use their discretion for clamping cars in areas around hospitals, the Department of Health and HSE.
The council says it doesn't run any hospital car parks, as they are managed by private companies.
The authority says its endeavouring to put in place a more formal identification process for cars belonging to medical professionals to ensure that spaces around hospitals can be prioritised for staff.
The Irish Nurses and Midwives Organisation (INMO) has raised the issue, but they are waiting for a response from the HSE.
The car parks are not at full capacity because of restrictions in place due to Covid-19.
Staff working in the Covid-19 test centre at Croke Park can park inside the stadium.