Question is whether the player has an option when he is snookered after a foul of asking the other player to play again, instead of taking a free ball which the Snooker Canada rules says "occurs". One of my fellow players thinks free ball is a choice and is not prescribed.
Just to clarify that, the WPBSA rules are very, very detailed and the Canadian rules are less so. I do not believe there are any inconsistencies between them. The snooker Canada rules, for example, do not define snookered and the WPBSA rules have to be consulted to find the definition.
I don't know if you are relatively new to the game or have been playing quite a long time so please don't be offended by what I say here. If you are new, you should get yourself very familiar with the BASIC game before you worry about some of the more complex rules such as Free Ball. If it is helpful, here is a link to a good, simple, one page write up of how to play the game:
http://www.rulesofsnooker.com/snooker-for-beginners.html
and your specific question is answered in the section labeled as "Foul rules: 2-, and 3-"
I also looked at the SnookerCanada website and, very strangely, they have their own page dedicated to what they term as "Snooker 101, Snooker--The Rules" but in fact, that page is really just SnookerCanada's synopsis of the REAL rules, kind of like the one page synopsis I linked above. I don' t know why SnookerCanada would have chosen to present the Rules this way; it seems very odd to me. As far as I can tell, SnookerCanada officially endorses the same Rules as virtually everyone else in the world. This is proven when you click on the link about their premier event, the Richler Cup where you will find the following:
"Terms & Conditions
The 2016 Richler Cup shall be held under the ultimate authority of Snooker Canada.
The tournament shall be played under the conditions approved by Snooker Canada and
under the rules of the game as published by World Snooker.
"
and you notice the bold refers to the World Snooker (WPBSA) Rules which you can get straight from the horse's mouth here:
http://www.wpbsa.com/wp-content/uploads/2016/03/official-rules-of-the-game.pdf
About your specific question, the way to think of it is thus: anytime ANY foul is committed, the incoming striker always has what is commonly called the "usual options". That means with any foul, the new striker can ALWAYS just choose to play his shot as the balls have come to rest, or he can choose to put the fouling striker back in to play the shot as the balls have come to rest. (This means that the fouling striker must play whatever stroke the incoming striker would have had to play, i.e., say that the foul was committed when the fouling striker was playing at the Black ball. The incoming striker has the usual options of playing at a Red with the balls as they were left, or he can put the fouling striker back in to play at Red with the balls as they were left, NOT playing at the Black ball again.)
Sometimes, after a foul, the incoming striker may have additional OPTIONS (note that these are ALWAYS options....the incoming (non-fouling) striker always has a choice of some kind after his opponent committed a foul). IF the balls were left in such a way that the ball on (or balls on in the case of Reds) is "snookered" by the definition in the linked World Snooker Rules, then the incoming striker has that third OPTION of playing a Free Ball if he so chooses (but he doesn't have to....he can always just take that first "usual option" and play a normal shot if he wants).
And lastly, there is the case of Foul and a Miss. FAAM then offers an additional OPTION in certain circumstances. (I don't say "fourth option" because sometimes, you might have Free Ball but not FAAM, and sometimes you might have FAAM but not Free Ball, and sometimes you might have both Free Ball and FAAM along with the usual options.) But if you are truly a beginner, please do not bother with FAAM until you get much more familiar with the game because FAAM can get very complicated.
In fact, if you are really a beginner, I fear I may have confused you even more with this write up, but my main point is that what you find on the SnookerCanada website is NOT the proper Rules of Snooker, it is just kind of a general synopsis of the rules to help guide you.