Carneiro has parted company with Chelsea in the wake of the incident on the opening day of the season when she was criticised by manager Jose Mourinho for going on to the pitch to treat Eden Hazard
She was removed from first-team duties and it is understood to be likely that she will launch a claim for constructive dismissal.
Dr Mark Gillett, chair of the Premier League Doctors' Group, said her departure had been greeted with sadness and regret by her colleagues, and that the incident highlighted the need for safeguards and clarification of the role.
Gillett, who is director of performance at West Brom, said: "The news that Dr Eva Carneiro has left her position as first team doctor at Chelsea FC has been received by her colleagues in the Premier League Doctors' Group with great sadness and considerable regret.
"She has continued to display the highest standards of professional conduct and personal integrity throughout an extremely challenging period for herself.
"This incident and the media attention given to it highlights the need to clarify and safeguard the doctor-patient relationship that exists between Premier League doctors and players.
"The Premier League Doctors' Group will continue to impress these issues to all stakeholders in Premier League football and seek to ensure that the highest standards of assessment and treatment are applied irrespective of any match situation."
Mourinho criticised Carneiro and head physiotherapist Jon Fearn as "impulsive and naive" after they went on to the pitch to treat Hazard - Chelsea were then temporarily reduced to nine men against Swansea as Hazard had to leave the field and Thibaut Courtois had already been sent off
Source : PA
Source: PA