Bulgaria national coach Krasimir Balakov and the Bulgarian Football Union's entire executive committee have resigned.
Balakov was in charge of the team in the 6-0 defeat to England in Sofia on Monday night, which was marred by racist chanting and Nazi salutes from home supporters and was twice stopped.
He said after the game that he hadn't heard any of the offensive chanting but later apologised on behalf of his national team.
"I strongly condemn and reject racism as a norm of conduct that contradicts modern human relations," said Balakov. "This is a prejudice that comes from the past that must be eradicated forever.
"I want to say something very clear: given that there have been insults on such a basis, I, as a coach of the national team, apologise to the English footballers and all those who feel hurt."
The Bulgarian Football Union executive committee held a press conference on Friday afternoon and announced that Balakov, along with the entire committee, had tendered their resignations.
Earlier, five more men were arrested over the racist incidents.
The five men were detained at the First District police station in Sofia while a further five were searched at a different precinct in the Bulgarian capital, taking the total number identified to 16, a spokeswoman for the ministry of the interior said.
Six supporters were arrested on Wednesday, with four already having been banned from attending any sporting event for the next two years and fined 1,000 lev (around €511).
One individual faces a pre-trial hearing on Friday and could be remanded in custody.