A protocol has emerged for internet meeting and matching in which men offer their phone numbers, giving women the opportunity to call. Men who do this aren’t necessarily expecting women to call and pursue them. They are acknowledging that women are sometimes reluctant to give out their phone numbers for security reasons. A guy who does this is telling you that he is interested and would like to hear from you.
Men pursuing women is a relationship relic. The internet is a great social leveler, so many of the old rules don’t apply.