In other countries the processing time for citizenship may be faster but you may have to wait longer to apply.
If you have a friend who told you they got their citizenship in Canada less than 3 years after arriving in Canada, they are lying. Even if they already got their PR when they arrived, it would take them 3 years of living in Canada before they can apply and then a processing time for the fastest I have heard is 8 months but usually more like a year or a bit longer.
You will not have your PR when you arrive and with no education and no work experience yet, you do not qualify to apply for it. First you have to work on qualifying and that means getting an education and getting work experience.
It is also possible for someone to take a one year course and find a job in Saskatchewan and apply for PR after 6 months of work under the provincial nominee program but that is a long shot because you have to be lucky to find a skilled job right away after your course and to find an employer who will take measures to keep you around while you wait for your PR to be processed because with a one year course, you only get a one year open work permit after you graduate and that is just not very much time to work with.
That is why a 2 yr. course is better because you can get a 3 yr. work permit afterwards. After graduating, you may be able to apply for PR under a provincial nominee program faster than you can apply under Canadian experience class.
Once you get your PR, you will need a minimum of 2 years as a PR before you can apply for citizenship. Applying for citizenship is based on 3 yrs. in Canada as a PR but you may count time you spent in Canada before your PR as 1 day for every 2 that you spent. Therefore, if you were in Canada for 2 years before you got your PR, you need 2 years afterwards.
This means that the fastest way of someone like you getting citizenship who decides to play on his luck, takes only a 1 year course and is lucky to get a job afterwards and applies under the PNP in SK might be able to apply after 15 months in Canada. The processing time for the PR will probably be another 15 months but lets say he is really lucky and gets it after 12, then he will spend another 2 years in Canada before applying for citizenship and lets say he is very lucky again and gets it in 8 months, then he will have spent 5 years in Canada before getting citizenship. If he takes the safe way which I would recommend and takes a 2 year course, gets a 3 year post-grad work permit, works for 1 year skilled, then applies under Canadian experience class, has a normal processing time of 15 months until PR, he will have spent 4 years to get his PR and he will spend another 2 years before being able to apply for citizenship which might take 2 years to process so it could be 8 years before he has it.
However, a word of advice for you for the future. Stop looking at the calendar. If your main goal in life is getting that passport, you will forget to be happy. Go study in a country where you enjoy your time. That way, you will want to stay there, even if it takes you a long time to get PR and/or citizenship. Immigration should not be about how fast you can get a passport. What are you going to do once you get it anyway? Go home again? Because if you are, then what's the point?
