Are nodules found in the lung curable?

Curable? No. Lung nodules are very common, and over 95% are benign scars that require no "cure". They don't go away, and therefore are not "cured" but they are harmless. The 4-5% of lung nodules that are cancer require some form of treatment and many of these are curable. This depends upon thorough evaluation of the nodule, staging and treatment by experienced teams.
Depends On Cause. There are solitary and multiple pulmonary nodules. Either one could be malignant, but still curable. They maybe due to infections, inflammatory conditions, developmental conditions or exposure to toxic dust, etc. Some of these can be treated and cured. Others may be stable or progressive and not curable. The cause needs to be determined with your physician's help.