They said: "We are all so utterly devastated by the loss of Matthew. We were more than just cast mates. We are a family.
"There is so much to say, but right now we're going to take a moment to grieve and process this unfathomable loss.
"In time we will say more, as and when we are able.
"For now, our thoughts and our love are with Matty's family, his friends, and everyone who loved him around the world."
The statement came as fresh details of Perry's death emerged.
First responders revealed he was found underwater in his jacuzzi by his assistant who lifted his head up to try to get him some air.
However he was found to have already died by the time the Los Angeles Fire Department arrived at the Friends star’s Pacific Palisades home on Saturday and lifted him out of the jacuzzi.
Captain Erik Scott, with the LAFD said: "Los Angeles City Firefighters responded [and] found an adult male unconscious in a stand-alone hot tub.
"A bystander had brought the man’s head above the water and gotten him to the edge, then firefighters removed him from the water upon their arrival.
"A rapid medical assessment, sadly, revealed the man was deceased prior to first responder arrival.
"The circumstances are under investigation by LAPD and the LA County Medical Examiner. We mourn with families and friends who lose a loved one unexpectedly."
A post-mortem examination was inconclusive and officials are awaiting the results of toxicology tests.
Tributes from the entertainment world have poured in since the news of Perry's death.
On Monday Salma Hayek has said she will cherish the "silliness, perseverance, and lovely heart" of her co-star in Fools Rush In.
Alongside a selection of photos of them together, Hayek wrote: "Two days ago, I woke up to the shocking news that Matthew Perry is no longer with us. It's taken me a couple of days to process this profound sadness.
"There is a special bond that happens when you share dreams with someone, and together you work towards them.
"I was very moved last year when Matthew shared on his Instagram stories how much he loved 'Fools Rush In,' and how he thought that that film we did together was probably his best movie.
"Throughout the years, he and I found ourselves reminiscing about that meaningful time in our lives with a deep sense of nostalgia and gratitude.
"My friend, you are gone much too soon, but I will continue to cherish your silliness, your perseverance, and your lovely heart. Farewell, sweet Matthew, we will never forget you."