Canada has 3 ways to call parents
1) You can file their PR. There are conditions associated with that though
- You need to have min income requirement (based on # of family members and dependents) and you need last 3 years income statements from CRA and your parents will be in long queue of application pool.
- There are limited intake since last year in this category 5,000 files/year and it fills like within 1 month it opens. In fact this programs reopened started since 2014.
- You need to be PR holder or Citizen.
2) You can apply for their visitor visa. It's though not guaranteed and they can stay upto usually 6 months and possible extension but you will bear all expenses related to parents (Major is insurance usually $1600-$2000 per person). For this also you need to show sufficient backup/proof of residence if you are sponsoring them.
3) SuperVisa which is best, fastest and easiest. They get visa usually 10 years or till expiry of their passport. But it's success rate is as high as 87% and they can stay with you for 2 years without extension. Condition is you buy their Medical Insurance. Also you need to submit few documents related to you are capable of bearing all expenses related to same.
I hope it gives you hint. All options I think you will have to wait till min 1-2 years till you get stable here. You are lucky that you have biggest wealth in world as you are blessed to have your parents and God bless them good health.
