Two other British cave divers who assisted in the mission were John Volanthen and Jason Mallinson.
The Thai Navy Seals have released dramatic footage of the operation, giving greater insight into just how unsafe it was.
The twelfth boy and the coach were freed from the complex late Tuesday, after a complicated three-day operation to extricate the boys, who became trapped on June 23 when rising flood water cut off the exit, deep inside the cave.
The parents of the 12 boys from the Wild Boar football team shed tears of relief and joy on Wednesday afternoon (Jul 11) when they visited them at Chiang Rai hospital.
The Thai Navy SEAL commander said the Royal Thai Navy is always prepared to respond to disasters in the country, stressing his belief in the capabilities of all officials, and thanked for the dedication from all personnel and support from the general public.
"As they were coming down the slope, we were counting them until we got to 13 ... unbelievable", he said during a press conference at Heathrow Airport.
"We were very very pleased it worked out quite so well, it worked out, the results speak for themselves".
"But it was what they faced, and what they had to do in there, which was extraordinary".
Thai rescue teams walk inside cave complex where 12 boys and their soccer coach went missing, in Mae Sai, Chiang Rai province, in northern Thailand, July 2, 2018.
The 12 Thai boys and their coach before they went into the cave.
Mr Jewell said: 'Our role was to help transport the boys under water through the cave to bring them out.
"I've seen rescues in the past but this one seemed so complex and so hard and so harrowing", he told reporters in Adelaide.
"We're just very happy that the boys are out and safe", Volanthen said.
"We were very relieved that they were all alive but I think at that point we realised the enormity of the situation and that's perhaps why it took a while to get them all out".
The film company says they are now in talks with "senior officials in Thailand both on provincial and national levels". "He's got a very good bedside manner. So, that seemed to work".
Narongsak also paid tribute to former Thai SEAL diver Saman Kunan, who died in the attempt to save the boys, saying his sacrifice added to the team's determination to complete their mission. "It's kind of bittersweet for what's otherwise been an excellent operation".