It all depends on which country you're thinking of, but for purposes of providing you with some kind of answer, let's look at the developed and under-developed nations, allies and enemies, and those in between.
"First World" countries, also called "developed" nations, are countries like Germany, Canada, the United Kingdom, France, Japan: They look to the US for it's economic might and enjoy it's culture (MacDonalds, Disney, pop music), but they often resent what they consider the heavy-handed politics of America (that we act as a "policeman" of the world and will take military action without their approval). Culturally, they (esp. the French) often complain of how American English and American customs affect their own, native customs. But while feeling that way, they still eat Big Macs and flock to American movies, like Iron Man, etc. It's like you admiring a rich actor and the movies he's in--but you don't really like his personality and might be a bit jealous of him as well. For example, you might like the movies that star Gwyneth Paltrow but dislike her personal attributes, as she tells you how to raise your kid or how to exercise and eat right (easy for a mega-rich celebrity to say when she can afford any food, hire personal trainers and pay for help in raising her kids!)
"Third World," or "under-developed" nations, are the countries that have poor economies and an often poverty-stricken life for their people. They are politically unstable, sometimes in military turmoil, like many nations in Africa. They see America as a mighty force, economically and politically, and look up to the US but often resent being told how to run their affairs. They look to the US for money and aid even while complaining of our power being too much. Problem is that if the US wasn't a powerful country, it probably wouldn't have the wealth to help them during famines, etc. They often say: "We need your help, but not your meddling in our internal affairs!"
Allies, which are often developed countries, still resent many of our "overbearing" traits. Even the English, so closely related to us throughout our history, have some negative opinions of our behavior.
Enemies often hate us for our attitude toward their right to independent decision-making. They sometimes see us as exploiting them for their cheap labor and the natural resources in their countries. And, very important: they see us as insensitive to their religious and social customs. Still, they often want to imitate us in many ways and many even want emigrate to "evil" America.
There are in-between countries, like Brazil and Egypt, China and Russia, who are in varying stages of development, and seem to be neither good friend nor terrible foe. They all seem to like some of our culture a great deal, and none would deny that they try to learn business the American way. Still, they are adversarial in many ways when it comes to our dealings with them.
And some nations dislike us in one way but like us in another way, so their attitude moves from like to dislike, depending on the situation. This flip-flopping is what makes diplomacy so difficult for our State Department, which assigns ambassadors to almost every nation and the United Nations as well.
Who is right? Those who like us or those who don't. To be honest, they've all got a point and we should consider what all of them think. The world is too small to not care.
When you're the richest and most powerful, it's tougher than one might think. Maybe the way to say it is: You can't please every country--or any one country--all of the time!
Addition to this response: Just read the other negative responses and keep in mind that, for example, Canada is the largest trade partner of the US and consumes our culture as if it were their own (and we like theirs, too, esp. singers, etc.)--but look at the hostility, even from an ally and well-developed nation like them! Just like I said...and by the way: Sweden was once a militaristic invader of northestern Europe (under their King Charles). Spain, which has mixed views of the US, along with France, colonized the New World and brutalized the natives and brought slaves from Africa. But it was "a long time ago" and they wish to villianize the US while forgetting about their pasts. Yet another reason why our detractors love to detract: helps them forget about their treatment of native populations (Canada) over the centuries, etc. Added this just so you can think comparatively--and with history as your teacher. Just ignore all the people who criticize us while not doing so for themselves--just because it was 100 years ago. Or twenty years ago....