I am a coop student, and I worked my first co-op placement at company X.
I performed really well, and the manager said "just let me know if you ever want to come back". We have even discussed me working full time after graduation.
I will be seeking for my next coop term in the winter, and I would like to apply for company X again.
I know that I should notify my manager that I have done this, because chances are that he will hire me if I do so.
I don't know what exactly to message him though.
Here is what I have:
Dear John Doe,
It was a pleasure working for company X, and I would like to do it once again. I have submitted a job application for this position at X, and just thought I'd let you know about this.
Hope we can work together again soon.
Is this good enough, or can it be improved?