I saw this on an app, and I was a bit confused. I know goodnight in Japanese is usually おやすみなさい, or the less formal form, おやすみ, but what exactly does おじゃすみなさい mean? Is it some slang way of saying goodnight, or does it have some other meaning. The unreliable Google translated it as meaning "I'm sorry", which I surely don't trust, as it's almost never accurate. So is it a slang term, or did the person just write it wrong?
Years ago, in the age before the iPhone, my wife had a DoCoMo flip-phone with a Java-based OS. When you opened the phone, a cartoon bear character would appear and say some things. I think he was called クーマン or something like that. He “spoke” with a lisp of sorts, saying things like おはようございまふ and 行きまふぉう！
Depending on the app, おじゃすみなさい might be a deliberate affectation intended to show a funny pronunciation — maybe a lisp, or a stuffy nose, that kind of thing.
As others have noted, おじゃすみなさい is not itself a meaningful phrase. And never trust Google Translate. It is capable of some really bizarre and unhelpful “translations”, especially for shorter strings.