Despite undergoing a series of pain-killing injections in the run-up to the game, the 28-year-old watched from the stands as his side were beaten 3-0 at Hampden Park by Celtic.
It had been suggested that McPake was to have an operation on his back over the summer, but he insists this is not the case.
"Some friends have been in touch with me recently about these rumours but they aren't true," he told The Daily Record.
"I haven't had an operation and I'm not planning to have one.
"I am enjoying a brief summer holiday at the moment before the start of pre-season and I'm also looking forward to becoming a dad for the first time in August.
"It was a massive disappointment to miss out on the Scottish Cup final. I thought I'd done enough to make myself available.
"But in the week leading up to the final I experienced another setback and I knew I wasn't going to make it.
"It was really tough to take because I would have loved to have led the team out at Hampden.
"I'm aiming to be fit and back in training when pre-season starts so I'm up to speed when the matches get under way."
Hibs' exploits in the Scottish Cup have given them the chance to secure a place in Europe, something McPake says he is relishing.
"It promises to be an exciting season for us with the Europa League qualifiers. I want to give our inspirational fans something to cheer," he said.
"We are also looking to build on last season in the SPL and make progress."