Hello. Thank you for writing to us at healthcaremagic
These red, scaly/rough patches could be either
tinea or patches of eczema/
psoriasis.
Itching is a subjective feature and may vary between individuals.
A visual inspection would be more informative.
I suggest you to go for a KOH wet preparation, by scraping a small amount of scale from the surface of patch and visualizing it under the microscope to look for fungal elements.
If fungal elements are positive treatment with an OTC antifungal e.g
clotrimazole 1% cream, twice daily for 2-4 weeks would suffice for a limited involvement such as this.
However, if KOH comes out negative for fungal elements, these patches are most likely eczematous in nature.
Topical
steroids would be helpful for ezcematous patches.
I suggest you to visit a
dermatologist in your region for a confirmatory diagnosis as well as appropriate treatment.
Regards