The image isn't clear on whether the pigmented lesion is on the conjunctiva(appears as a brown spot) or the sclera side. Removal of lesion is usually not recommended for benign-appearing lesions that do not change in size or appearance. Do consult by attending your Ophthalmologist's session and learn more about monitoring such lesions.
If on the conjunctiva, and you will feel compelled to remove it. This usually entails a fairly straightforward procedure akin to removing a skin-mole.
The removal of pigmented scleral lesions will usually require a superficial delamination of the sclera, and is also not recommended for benign lesions.
