Having said that, the Foxes boss believes his side should have secured more points than they have and wants to head into the international break on the back of a positive result at Bournemouth on Saturday.
Leicester have only managed one win in their opening six Premier League matches but these include games against Arsenal, Manchester United, Chelsea and Liverpool.
Shakespeare said: "I think the fixtures we've had does help explain the run we are on but we are disappointed because we wanted a better points return.
"We knew at the beginning of the season, when the fixtures were put out, that it was going to be hard.
"We knew we were up against some of the top teams and we knew what to expect, so there's no point harping on about it.
"You have to move on and we're over that but that doesn't mean that any of the games coming up are any easier.
"Bournemouth are a very good side but they haven't made the best of starts either, for whatever reason.
"But we are concentrating on ourselves, and our strengths, and we will head down there with confidence."
Leicester striker Jamie Vardy missed a crucial penalty last time out in his side's 3-2 loss to Liverpool but Shakespeare does not think it will affect the England striker too much.
Because of his character, I think he can get over it quite easily, very quickly.
"Of course the disappointment is still there but I think he's the type of person who will not shy away from taking the next one."