But the couple have said their greatest wish is to bath their baby boy at home, and put him to bed in his room - one he has never slept in.
"Today our hearts go out to them as they face up to the most hard decision that any parent could ever have to make", the spokesperson said.
"This is a sad day", said Rep. Trent Franks, R-Ariz., who introduced a separate bill to try to make Charlie a USA citizen. The decision came after new medical tests showed Charlie, who has brain damage and can not breathe unaided, had irreversible muscular damage.
The court heard Tuesday how London's Great Ormond Street Hospital (GOSH), which is caring for Charlie, had concerns about getting the right medical equipment into Charlie's home and had suggested a hospice and a mediator.
Chris Gard and Connie Yates announced their decision as a High Court judge was preparing to oversee the latest round of a five-month legal battle.
"We are now going to spend our last precious moments with our son Charlie, who unfortunately won't make his first birthday in just under two weeks", he said. "Charlie, we love you so much. we're sorry we couldn't save you".
The hospital said it would give "careful thought" on how the case was handled and how it can "enrich the care it provides to its most vulnerable patients and families".
The UK court presiding over the case of Charlie Gard will make its decision Wednesday on where and when the terminally-ill child will die. The court previously ruled that Charlie's life-support machine should be switched off and that he should be allowed die with "dignity".
They wanted to take him to the United States for experimental treatment with money raised through crowd-funding.
The judge hearing the case, Nicholas Francis, said no parents could have done more for their child.
Chris Gard and Connie Yates wept as their attorney revealed the results of brain scans.
But his parents wanted him to be given an experimental treatment by specialist Michio Hirano, a professor of neurology at Columbia University Medical Centre in NY, who travelled to London last week to examine Charlie for the first time and discuss the case with Great Ormond Street doctors.
She thinks the judge was sensible to ask the U.S. doctor to examine Charlie and "once all that information was put before the parents then, and I think because they perhaps had a greater sense of control of the issue, then they themselves said it's not in his interests". Nothing else needed to be said, but still, after Yates' statement, Armstrong stepped in and said, "It doesn't get rawer than that".
The case has drawn massive global interest including high-profile statements from President Trump and Pope Francis in support of the family.
"Staff have received abuse both in the street and online", she said.
"Many of these messages are menacing, including death threats".
"Families have been harassed and discomforted while visiting their children, and we have received complaints of unacceptable behavior even within the hospital itself", the hospital said.