In C you can have external static variables that are viewable every where in the file, while internal static variables are only visible in the function but is persistent
In writing code for a microcontroller I would use a local static variable to hold the value of a sub-state for a particular function. For instance if I had an I2C handler that was called every time main() ran then it would have its own internal state held in a static local variable. Then every time it was called it would check what state it was in and process I/O accordingly (push bits onto output pins, pull up a line, etc).