Yes, a government is generally in charge of granting citizenship for the population which it represents. This is a mechanism that seems to work for every functioning country in the world.
What's the alternative you're suggesting, exactly?
> The government gets to decide who is and isn’t a citizen
That's your quote which I'm referencing. I think that arrangement makes perfect sense, it seems as if you're in disagreement.
I'll ask again, what's the alternative arrangement you're trying to champion here? If you don't have answer I can only assume this argument's being made in bad faith, I'm trying my best to interpret your comment charitably but unless you're more clear about what you're presenting, I'm going to read it as it was presented.
What's the alternative you're suggesting, exactly?