When a guy tells you that you can call him anytime, it usually suggests that he is open and available to talk whenever you feel like it. It can imply several things, depending on the context of your relationship:
Support: He may be showing that he's there for you if you need someone to talk to, especially in times of distress. This could indicate his care and concern for your well-being.
Interest: If you're in the early stages of getting to know each other, it could mean he's interested in you and wants to build a deeper connection.
Open Communication: He might value open communication and want you to feel comfortable reaching out to him.
Availability: It could simply imply that he has a flexible schedule and can be available to chat at various times.
Remember, context and the nature of your relationship with this person are critical in determining what this statement could mean. It's always best to clarify with the person directly if you're unsure about their intentions.