any time vs. anytime

[Anonymous]

Are these all OK and natural?

1. You could have met her [any time, anytime] you liked.

2-1. Jake is going to be here [any minute, any time, anytime, soon].
2-2. Jake is going to be here [any time soon, anytime soon].

Thanks.

[Pete]

Are these all OK and natural?

1. You could have met her [any time, anytime] you liked.

2-1. Jake is going to be here [any minute, any time, anytime, soon].
2-2. Jake is going to be here [any time soon, anytime soon].

Thanks.
In the sentences above, choose "anytime" instead of "any time". (Your other options all seem ok.)

The single word "anytime" is an adverb. When you mean for "time" to be a noun, choose "any time". In fact, m-w.com defines "anytime" to mean "at any time". A sentence with "any time" is:
- You can set your watch for any time you want; you are the one who will be late if it is wrong.