revealed that BCA chief Conde Riley had written to Cricket West Indies president Ricky Skerritt lamenting an "inconsiderate and reckless" process as he called for Simmons' dismissal.
But Skerritt told a conference call: "I want to assure West Indies cricket fans that Phil Simmons still has the full backing of Cricket West Indies no matter what has been said.
"When all is said and done, Phil's job is not in any way threatened by that letter.
"He went through a very vigorous recruitment process nine months ago and was the best man we could have found for the job. He's still the best man."
Meanwhile Simmons, in his second stint as Windies coach, said: "This has not been an easy time for my family. My wife was very close to her father and his passing has hurt us. There was no question of me not going to the funeral.
"My wife, my daughters and my son needed that support. Family is a huge thing for me.
"It won't disrupt us, it will just make us a little stronger going into the Test series. Our focus is still on the series."
West Indies captain Jason Holder had no qualms over Simmons' brief absence.
"Phil has done what was asked of him and I don't have any issue with it," he said.