Parents Chris Gard and Connie Yates insist baby Charlie should be given the chance of US treatment
Chris Gard and Connie Yates, who are both in their 30s and come from Bedfont, west London, said in a TV interview that they disagreed with medical opinion that the journey would be too stressful for eight-month-old Charlie.
The parents were speaking on ITV's This Morning following a ruling by a judge that it would be lawful for doctors to stop providing life-support treatment.
Mr Justice Francis said Charlie, who suffers from a rare genetic condition and has brain damage, should move to a palliative care regime.
His parents had hoped to be allowed to take their son to America for a treatment trial.
Asked during the interview whether they had imagined turning off his life-support, Miss Yates insisted: "No."
And Mr Gard said: "Not when he's so stable. If he was lying there and you could tell he was in pain and he had lines coming out of everywhere, he's not got one IV line."
I still haven't got my head around it
Fater Chris Gard
Charlie's parents have vowed to carry on their legal fight, and doctors say they will continue to provide life-support treatment until appeal decisions have been made.
Bosses at Great Ormond Street Hospital in London had asked the judge to rule that withdrawing life-support treatment would be lawful.
Granting the application, Mr Justice Francis said he had reached his conclusion with the "heaviest of hearts", but with "complete conviction".
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The parents disagree with medical opinion that travel would be stressful for the baby
Mr Gard said: "I still haven't got my head around it. It was a week ago, I can't sleep, I can't eat, I still can't get my head around why we're not allowed to take our boy for treatment that he so desperately needs."
He said they "totally disagree" that taking Charlie to the US for treatment would be too stressful, adding: "He's probably the most stable baby in there, he's not in pain, he's not suffering because if he was suffering and in pain we wouldn't sit by his bed and watch him suffer."
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Miss Yates said: "It seems like they're making him out to be a lot worse than he actually is. We sit with him day in day out, we know he's not in pain and he's not suffering. He just needs the treatment that's going to potentially help him. There's no guarantee it would work but theoretically it should help."
She added: "All we're asking is for two months to try this medication. We've been here for months trying to get this anyway and he hasn't deteriorated in that time. And we will know if it works or not in that time."
They have vowed to continue their fight despite the High Court ruling
Mr Justice Francis said the parents had shown "absolute dedication" to their "wonderful boy".
It had been, he said, his "sad duty" to apply the law relating to a terminally-ill child's best interests when doctors and parents could not agree.
The judge said Great Ormond Street doctors had considered the experimental treatment on offer in America but decided that it would not help Charlie.