Boyd - who signed a two-year deal with Middlesbrough this week after his contract with the Scottish champions expired - admitted he was bored of playing the same teams so often in Scotland's top flight.
But Celtic striker Fortune believes the huge expectations placed on the Old Firm to deliver results every week means life in the SPL could never be dull.
"I cannot say it is boring," he said. "It's different because, when you play for Celtic or Rangers, you have to win every game.
"That's the target so it cannot be boring. I cannot say that."
Fortune admits Scottish football was not what he expected when he arrived from Nancy, despite having had a loan spell at West Brom.
And he has promised fans they can expect to see much more from him in the season ahead after what he concedes was a difficult first year at Celtic.
He said: "Personally, I know I have to score more goals than I did last year. I will work on it and try to do better than last year.
"First of all I will try to do more for me because I try to progress every year. Last year was a difficult year; this year is the year of Celtic.
"I learned a lot because I didn't know anything about Scottish football when I arrived. It's more difficult than everyone expects when they arrive.
"You have to fight every game and it's not easy. I'm ready to fight. Now I know it's a difficult league and I'm ready for it.
"I know the teams that I play against now. When I arrived, I didn't know teams like Falkirk but now I know the teams. I'm more confident and I'm ready now."
Fortune is also relishing the prospect of working under Neil Lennon, after the former skipper was handed the manager's job after impressing as interim boss in the wake of Tony Mowbray's departure.
"We already knew the manager from the last two months of last season so it's the same atmosphere," he said.
"The manager is very passionate and he tries to give us this passion.
"It's going good. Pre-season is hard work but we have to work hard for the season ahead."