First and second person use the possessive adjective +
self / selves:
me,
my myself
you,
your yourself
us,
our ourselves
you,
your yourselves
Third person uses the object pronoun +
self / selves:
him, his himself
her, her herself
it, its itself
them, their themselves
(The sentence doesn't make sense semantically, by the way.
Did you mean the following?
The French-speaking people of Canada are considering separating themselves from the other provinces.
Canada doesn't have states; it has provinces.)
CJ