"For large spells of last season, we felt we should have been higher up in the league than we were and performances certainly warranted that for large periods as well".
The United manager had outlined four positions he wanted to strengthen in to executive vice-chairman Ed Woodward at the start of the transfer window, but only Victor Lindelof, Romelu Lukaku and Nemanja Matic have arrived at Old Trafford.
The 54-year-old added: "I think everyone - the top seven - are all in Europe".
From the physical side of it, I think La Liga is not the Premier League in terms of the physicality. The Gunners are looking to return to the top four after missing out a year ago for the first time in over two decades under Arsene Wenger.
"I don't say I know the league better because I have been in this league for a long time. If that is going to mean better results and the title, I don't know".
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According to the British media reports, City have spent over 200 million pounds ($259.62 million) on full-backs Benjamin Mendy, Kyle Walker and Danilo, goalkeeper Ederson and midfielder Bernardo Silva.
"Given the transfers, I think what you do is you try to assess nearly a middle market".
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"We need to improve because we ended up a distance away from the top".
Henrikh Mkhitaryan is probably favourite to start ahead of Juan Mata and Anthony Martial so he should support Romelu Lukaku with the Belgian global set to make his league debut following his big-money move from Everton this summer.
"The league is special because it is such a tough division to win", Carrick - the last remaining member of 2008 continental champions - said.
It represents a significant change for West Ham, who have looked overseas for many of their signings in recent years, with successes like Dimitri Payet offset by a number of failures in the window.