Ireland's chances of reaching Euro 2024 were all but ended last week with a defeat to the Netherlands in Dublin. Ireland lost 2-1 on Sunday night, and the result means that qualification from their group is impossible.
There is also a route to the Euros via a playoff series next March, but that is also a tall order for the current Ireland team.
Kenny, who took over the Ireland job in 2020 from Mick McCarthy, has come under increased pressure in the role, and that pressure reached boiling point with the loss to the Dutch on Sunday.
It appears now that Kenny's tenure with Ireland will end with this qualifying campaign. Kenny has backed himself to see out the remaining games against Greece, Gibraltar, and the Netherlands, but there is more speculation that Kenny might not even complete those three fixtures.
Kenny's current contract will expire after the completion of the Euros in Germany next year, but Giles thinks that Kenny should get a deal that goes past the Euros because of the 'good job' he's done with Ireland.
Speaking on Eamon Dunphy’s podcast, The Stand, Giles said, "I think Stephen has done a really, really good job with the players that have been available to him."
“I think he has lesser players [than Giovanni Trapattoni and Martin O’Neill did]. He’s brought the young players in. I think he’s been brave in what he’s doing, and I’d love to see him qualify for a competition. They try to play constructive football and most of the time they do, but he doesn’t have a lot of choice at the moment.
“On a personal note, I’d love to see him have an extension to his contract.”
Despite Kenny's troubles in the role, where he has just recorded one win in five Euro 2024 qualifiers so far, Giles also believes that fans will decide Kenny's fate in the end.
“I think he’s done a good job, he’s a good fella, a good character,” added Giles. “He’s made progress with the team, with the players he’s had at his disposal. It’s a very, very difficult job.
“The fans will dictate how the situation transpires. If the people are still coming to the matches, that’s a big plus for him. It means that they like watching the team, and whoever makes the decision to extend his contract, it will be a plus for him in a big way. The thing for Stephen now to keep his job, he has to beat the teams that we should be beating. He has to do that.”
Ireland's last three games will be against Greece on October 13. Kenny's side then face Gibraltar on the 16, before finishing the group against the Netherlands in Amsterdam on November 18