Is it possible to get a player from a remote event?

Greetings fellow humans,

I am here to ask if its possible to get a player from a remote event. (which you can tell from the title)

I have put the following localscript inside of a text button:

script.Parent.MouseButton1Click:Connect(function()
	game.ServerScriptService.StarterEvents.Player:FireServer()
end)

And the following script inside of ServerScriptStorage:

script.Parent.OnServerEvent:Connect(function(player)
	if player.Name == "xTriton" then
		print'cool'
	end
end)

Can a player pass through a parameter using remote events or do i need a remote function for that?

(in case your wondering i started using remote events yesterday so cut me some slack.)