Mr Evans said that he had a "lengthy talk" with doctors and pleaded with them to give his son oxygen.
Alfie Evans has however been breathing on his own for at least 11 hours, his parents Tom Evans and Kate James informed supporters via the Instagram page dedicated to the toddler called "Alfie's army" on Tuesday morning, saying he had been getting water and oxygen "proving these doctors wrong".
Mr Justice Hayden earlier dismissed a "last-ditch appeal" giving doctors the go-ahead to stop treatment.
The judge heard submissions from lawyers representing hospital bosses, Alfie's parents and the youngster via a telephone link.
The Italian government announced later on Monday that Alfie had been granted Italian citizenship in the hopes that it would allow him to be moved to the Vatican's Bambino Gesu Pediatric hospital for further treatment. The case has since drawn worldwide attention.
On Friday Supreme Court justices said there should be no further delay in treatment being stopped.
Crowds of protesters lined the streets in front of the hospital Monday as they waited for the ruling, while Tom sent intermittent Facebook live posts from inside the hospital.
'Alfie is a British citizen, he is undoubtedly habitually resident in the United Kingdom, ' he said.
You say that using force to prevent me from trying to save his life is no more than upholding the law - I say it is murder.
A United Kingdom hospital is holding an Italian citizen hostage and intends to deprive him of life-giving treatment against the wishes of his parents.
The hospital missed the proposed time to end Alfie's life and was therefore found to be in breach of the court approved plans.
"I have been in touch with the Ambassador of Italy".
"My son belongs to Italy", he said. "I love Alfie and I love Kate, I will not give up".
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The case has drawn the attention of Pope Francis, who during a Sunday blessing in St. Peter's Square this month offered prayers for Alfie and others who are suffering from serious infirmities.
On Monday protesters supporting the stance of Alfie's parents tried to storm the hospital entrance.
As they ran towards the main doors a squad of police officers scrambled to block their way, forming a line to repel the intruders.
The Alfie Evans' case will have a High Court hearing later today.
Alfie is in a "semi-vegetative state" as a result of a degenerative neurological condition doctors have been unable to identify.
Specialists say his brain has been "eroded".
Following a series of emergency hearings with Paul Diamond, standing counsel to the Christian Legal Centre, regarding the Italian intervention, Mr Justice Hayden refused to discharge his previous order, saying that Alfie was a United Kingdom citizen "habitually resident" in the UK.
"Alfie has survived much longer than the doctors predicted, lending support to the request from Alfie's parents for Alfie to be seen by medical experts in Italy", she said.
From Alfie's Italian lawyers, Giuristi per la Vita: "The defence lawyers of Alfie Evans have just filed an urgent appeal with the Italian Consulate in London, which acts as a judge for the guardianship of Italian minors overseas The ambassador has already been notified through our friends of the Steadfast Onlus association who deal with diplomatic relations and have facilitated the acquisition of Italian citizenship for Alfie".
The couple then argued Alfie was being wrongly "detained" at Alder Hey and made a habeas corpus application.
Mr Justice Hayden has dismissed that habeas corpus claim.
"We welcome the intervention of the Italian government and are grateful that they stand ready to take Alfie to Italy".
Early on Monday EHCR judges also refused to intervene.