For the regular cocoon citizen magic isn't obvious.
But there is a way for regular human who are not L'cies to use magic.
The Sanctum invented something called Manadrives.
Manadrives are artifical surges of magic.
Manadrives are contained in vials, weapons, armor.
You can put in Manadrives where you desire to.
L'cie magics are slightly more powerful than Manadrives.