I was recently terminated from a full-time job because of business difficulties and budget cuts. I'm still interested in maintaining whatever level of employment I can with the same company, part time. The primary purpose of this type of work is to fill a potential hole in my time/gap in my resume with the same employer, gain experience, and complete tasks. I don't expect to be offered a formal working contract or meaningful financial compensation. Most likely, the best I would be able to do is volunteer.
The usual response is to simply walk away from a former employer once a contract is ended, but I've been wondering about this option.
(1) I have references from my former employer, and am continuing to pursue other references from the same employer. How do I pursue the volunteer work in a way that can only help the quality of the references, not hurt?
(2) If I do receive the volunteer work, what is the best way to present it to future employers?
NOTE: Originally I described this category of work as microwork/microjob https://en.wikipedia.org/wiki/Micro_job, as I mentioned that I was willing to work for snacks and office supplies. Hence the suggestion to describe it as temp work.