Good day!
I don't think adding the canonical to your hyperlinks is going to accomplish what you want. All of the direction Google gives is to add it as a in the of your page ( https://support.google.com/webmasters/answer/139066?hl=en & http://moz.com/blog/rel-confused-answers-to-your-rel-canonical-questions ).
From a technical web development perspective, when a rel attribute is present on a hyperlink, it "...describes the relationship from the current document to the anchor specified by the href attribute..." ( http://www.w3.org/TR/html401/struct/links.html#adef-rel ). That being the case, a canonical would only make sense in this relationship where the link actually appears on the canonical versions.
Hope that helps!