1:00 am CT is not suitable to schedule meetings
When planning a call between Central Time and Eastern Time, you need to consider time difference between these time zones. CT is 1 hour behind of ET.
It is currently 1:00 am in CT, which is not a suitable time to arrange a call or meeting with someone in ET, since it is 2:00 am there, which not within the optimal time span between 7:00 am and 11:00 pm.
You could, however, schedule a call between 6:00 am and 10:00 pm your time. This time span will be between 7:00 am and 11:00 pm in ET.