Azeem Rafiq News
The results of the club's extraordinary general meeting on Thursday mean the third Test between England and New Zealand in June and July's one-day international against South Africa can now go ahead as scheduled.
Rafiq, who had accused Yorkshire of failing to deal adequately with the abuse he suffered at the northern county, said he was worried his candour had come at a price.
Former player Azeem Rafiq accused Yorkshire of failing to deal adequately with the abuse he suffered at the northern county, saying he had been driven to thoughts of suicide.
"PCA have offered support to Azeem throughout his career but clearly with this dispute with Yorkshire we did not meet the standards we needed to and have apologised to him," PCA chief executive Rob Lynch said.
Reform at Yorkshire after racism scandal being derailed by some, alleges club chairman Kamlesh Patel
Patel's attempt to clean up the mess is being delayed after an extraordinary general meeting scheduled for Wednesday was cancelled.
English cricket is back in the firing line over racism in the game after "stereotypical" and "outdated" views were expressed about the reasons for a lack of interest in the game among Britain's ethnic-minority communities.
England chiefs in November stripped Yorkshire of the right to stage international games at their Headingley ground in Leeds in response to the county's handling of the Rafiq case
Gough, 51, who had two playing spells with Yorkshire, captaining them in the second, has been appointed initially until the end of the 2022 season.
"We can confirm that Martyn Moxon, director of cricket, and Andrew Gale, first XI coach, have left the club today in addition to all members of the coaching team," a Yorkshire statement said on Friday
Wednesday saw the BBC confirm Vaughan, an Ashes-winning skipper in 2005, remained "on contract" and talks were continuing over his return to air.
Root, who said he had exchanged messages with Rafiq since he gave his evidence, insisted again on Monday that he had never heard anything untoward.
Following Rafiq's comments, which have sparked a tidal wave of accusations of racism within English cricket, the 47-year-old Vaughan was stood down from his BBC radio show earlier this month.
Cricket NSW chief executive Lee Germon, who oversees Sydney Thunder said the Australian T20 side should "accept people who have made mistakes".
Gayathri Ajith was only 16 when she met Rafiq but said she told him she was 17 in order to appear a "bit older".
The apology comes amid an ongoing crisis in English cricket sparked by whistleblower Azeem Rafiq's revelations about the racism he suffered while playing at Yorkshire.