If someone accidentally damages your property, saying "Canın sağ olsun" signals that you are not angry and that their safety or life matters more than the damage.
It reflects a mindset where the "can" (soul/life/spirit) is the most valuable asset, and as long as that is intact, everything else can be fixed or forgotten. Popular Culture and Media canin_sagolsun
The sentiment behind the phrase is so resonant that it is a frequent title for artistic works, particularly in music: If someone accidentally damages your property