How do you explain being fired on a job application?
If you prefer, you can simply write "job ended," "laid off," or "terminated" on your job application. This is recommended since your goal with your application and resume is to get an interview. You have a much better chance of dealing with the issue in person than you do of dealing with it on paper.
Should I say I got fired on an application?
Do not use the terms "fired" or "terminated". Consider using "involuntary separation." You may want to call past employers to find out what they will say in response to reference checks. When doing so, reintroduce yourself and explain that you're looking for a new job.