Dry cracked heels without itching or rashes are common. These heels just need a little TLC.
Start with one of the over-the-counter dry heel ointments that gently dissolve calluses. Use the ointment on the heel at night and wear a sock. In the morning, gently exfoliate in the shower with a sand paper foot file. Use every night for 5-7 nights. When better, use repeat once a week to keep your heels soft all winter long. If this remedy is not helping after one week, have your dermatologist evaluate for other conditions.