Guys, what do you mean when you say-Call me anytime.

I wrote this guy a letter because I thought he didn't want to talk to me over the phone. I told him this in the letter: I felt he didn't want to talk to me on the phone so I wrote him. I had something important I wanted to tell him regarding my feelings about him. Once he read the letter he called me that evening. He asked me why did I write that I told him. He claimed it is what I thought and that I can call him anytime I want to. I told that is how it seems at times he replied by saying no that I act that way. I didn't discuss it any further with him. we talked for hour and half. Did the guy mean it or was just playing with me? or what?
Guys, what do you mean when you say-Call me anytime.
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