Having difficulties seasoning my new cast iron pan due to the coarseness of the texture. Please help!
We have many comments, but I'm going to throw this in as an answer…

Your issue is lint, on a rough surface, so use something that is categorically lint-free.

A sponge. Any type.
A Moppet, the yellow side of a pan-scrub, anything.

It won't absorb quite so well as a cotton or paper towel &amp; squeezing it out to mop the last bit might be a bit of a task, but it won't shed fluff all over the surface.