Howe was appointed Newcastle manager in November 2021 shortly after the Saudi Arabian-backed takeover of the club and steered them away from relegation that season.
He then guided Newcastle to a fourth-place Premier League finish in the 2022-23 campaign as the Magpies qualified for the Champions League.
Howe signed what Eales described as a “multi-year” contract extension last summer before Newcastle United finished seventh in the Premier League.
Their first game of the 2024-25 season is at home to Southampton on 17 August.
Asked if he expects to start the season as Newcastle manager amid links with England, Howe said: “Of course that is my expectation because I am the manager of Newcastle and I am very proud to be.
“But as I said, it is all about the environment I am working in. As long as that is one where I feel I can give my best, then absolutely, we will crack on and I am looking forward to next season.”
England are next in action against the Republic of Ireland on 7 September in the Nations League.
An interim manager will be in charge if the Football Association (FA) is still to appoint Southgate’s successor at that point.
“I’m absolutely honoured and privileged to be manager of Newcastle United. I hope that is for many, many years,” Howe added.
“My commitment is unwavering. I am determined to win a trophy for the football club – that is in my psyche every day. I want to see joy in the supporters. I want to bring that to them, hopefully.”