Looking on the internet deeply has found these results:

I am available for an interview at any time is the most popular phrase on the web.

I am free for an interview at any time 16 results on the web	I am available for an interview at any time 114,600 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
~ Someone sent me for an interview at an abattoir. I didn't know you were bringing her in for an interview. I have an appointment for an interview tomorrow. The Pentagon declined our request for an interview. We can't wait for an interview with Anderson Cooper. He showed up in the precinct 20 minutes ago for an interview. See if we can bring Moran in for an interview. He said Dominic signed in for an interview at 7:45.	He said Dominic signed in for an interview at 7:45. So, Dr. Collins has now been made available for an interview. Really? Yes, I am available for a comment. The Pentagon declined our request for an interview. I am available to talk any time you would like. ~ Someone sent me for an interview at an abattoir. Mr. Wayne's available for an interview right now. You will have to make yourself available for an interview tomorrow two o'clock, Leeds Street.

I am free for an interview at any time

16 results on the web

I am available for an interview at any time

114,600 results on the web

More popular!

He said Dominic signed in for an interview at 7:45.
So, Dr. Collins has now been made available for an interview.
Really? Yes, I am available for a comment.
The Pentagon declined our request for an interview.
I am available to talk any time you would like.
~ Someone sent me for an interview at an abattoir.
Mr. Wayne's available for an interview right now.
You will have to make yourself available for an interview tomorrow two o'clock, Leeds Street.