The Dutchman spent 16 months in charge at Everton before he was sacked by the club this week. The dismissal followed a 5-2 home defeat to Arsenal, but Koeman believes things may have been different if he had signed Giroud.
Following his sacking, the former Barcelona defender promptly pinpointed losing out on the Frenchman as a factor in his downfall at Goodison Park.
“I had Olivier Giroud in the building,” Koeman told Dutch football magazine Voetbal International (via The Telegraph). “He would have fitted perfectly but, at the very last moment, he decided that he’d rather live in London, and stay at Arsenal.
“That was really hard to swallow. You tell me, where you can get a better striker?
“Lukaku was so important for us, not just because of his goals. If things were not going well in a game, if we could not play the way we were used to, there was always the option to use the long ball towards him.
The Everton boss also discussed how apprehensive he was after discovering the club’s opening Premier League fixtures
“I was on holiday when I received the Premier League fixture list by e-mail,” Koeman said.
“I looked at it and saw that five of our first nine games would be against clubs from last season’s top six: Chelsea, Tottenham, Man City, Man United and Arsenal.
“I looked at it again and I said to myself, ‘Phew! That is not going to be an easy run, in particular with a Europa League run at the same time’. And, most of all, because I had lost my striker Lukaku.”
After being relieved of his duties, Koeman has been temporarily replaced by David Unsworth.
The Toffees travel to Leicester this weekend, while Arsene Wenger’s side have a home tie with Swansea.