(Sorry about the formatting) Well just to start things off on the right foot this is not to be raciest, or discriminatory I myself am half black and half Puerto Rican, this is just something that I noticed a lot at work and really bugs me. I honestly feel as though if you can't speak/form a word/sentence in English don't come to America.While I know we don't have a national language our language is English. But with that being said let me just say I'm tired of people coming into my place of work that can barely speak a word of English so I have to go and get someone to translate its really tiring especially when the person that cant speak English looks at me like there's something wrong with me because I couldn't understand a word they said but my question for you all is...

Should immigrants be required to learn and be able to speak English in order to permanently stay in the United States?

So, you're problem is with people not talking English at large or people not talking English that are your workmates?

If it's the first, I can tell you that, while English may be the most spoken language over there, they can still survive speaking another language. It's like this all over Europe, and America should be no different.

If it's the second, they should absolutely know how to speak English. If your job is focused towards the entire population, you must know how to interact with them, immigrant or not.

I think people regardless of where they come from should be required to learn the language of the land in some form (at least to the point where they can at least communicate) even if they don't know it at the time in order to maintain permanent residence though not be required to speak it at all times. Of course I'd say that's a demand that might be hard to place on people who don't have the resources to learn it on their own especially if you're immigrating from a poor country so I would say the state should be responsible for offering language courses if you meet all other prerequirments and it would be on that individual to take that chance in order to get to stay in the country it regards.

As someone who comes from a city with a lot of immigrants living in it, I can say that language barriers while definietly not the only factor typically contributes to increased segregation which should be the last thing to strive for as a society.

EX Palen : Mostly not speaking English at large, but at the workplace, my co-workers, the ones where English isn't there first language, they can speak English good enough to get by, but that was just a example.

Zlinqx : I agree with you about the part of the state should be responsible for offering language courses.

a basic knowledge of english is already required for citizenship.However for permanent residency, I believe that people should not. Permanent residency is basically a green card. A green card is what allows you to live in the U.S. as you are waiting to be eligible and to finish the process in which you become a citizen. So basically, if you are an immigrant with a green card you're most likely trying for citizenship, and thus in the process of learning english already, as you have to read and speak during the citizenship test. 
For the period of time in which you are a green card holder though, I think that you should be able to speak english and if not, have someone/some other way to communicate with/for you. This is mostly for elderly immigrants and younger children. E.g., your own translator, device that translates for you, etc. until you can learn it yourself, or in some cases remain unable to learn english. However you can't exactly force someone to use a translator if it is not okay with them and it's not morally right to do so. should the government help immigrants with communication? Definitely.
So to summarize, no to required english, as most people already in the process of learning as they live in the us, and because it's just morally wrong and most likely against the constitution somewhere.

For the US, and UK specifically, their systems tends to accomdeates immigrants so companies can hire foreign workers, since it's cheaper than local, and the foreign workers send money back to their family or whatever, and then the cycle repeats when they leave and others return.

Besides other reasons, like war or famine, some people don't have a choice, a leave or die situation.

It's kind of hard to force people to learn a language when you have open borders like the US. Kids in American schools can't even speak english anymore.

I generally resist this line of thinking because it's a typical talking point of nationalist conservatives. However, I can't deny that you should at least ATTEMPT to learn the language of the land where you live.