Au contraire, the 'n' is fully pronounced like an American 'n' as in 'name'. I have yet to hear a Chinese speaker say 'wǎn'ān' as 'wã ã'.
How he says it in the recording is alright, but perhaps, Dave, you're confusing it with the syllable final 'ng'. That would produce a more nasally sound, like the 'n' in the French 'bon'.
Though "good night" may also be acceptable in many circles, it seems to me like the written English should really be a single word. I'll site this article to back me up: https://dictionarykiwi.com/2016/10/17/good-night-vs-goodnight-vs-good-night/60/