The phrase "I seated myself" is correct and commonly used in written English.
It can be used in any situation where the speaker or writer is describing the act of sitting down in a self-initiated or intentional manner. Example: "As the meeting began, I seated myself at the head of the table, ready to lead the discussion."
I seated myself under several images of bulls charging unfortunate toreros, and savored my first $2 plate of ham.
I understood the wordless song perfectly, and full of hope I hurried back to my hideout in the Science Museum, where I seated myself comfortably and unwrapped my tiny parcel.
I seated myself at one of the Hip Abductor machines, the one that works the outer thighs.
No sooner had I seated myself alongside two old white men in cowboy hats in an otherwise empty club than she, an older Thai woman, planted herself quite deliberately next to me and insisted that the Coke I wanted would be triple the listed price.
But as Atikleura insisted, and his wife, Nalungia, showed the most complete indifference as to what I did, I quickly made my decision, seated myself on the form, veiled my charms as well as I could with the bed clothes, and was soon clad in Atikleura's still warm underclothing.
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Could you let this couple sit down?" They looked so flustered and had this look on their faces that I probably would have if I were seating myself at the Oxford Debating Society.
One morning, I found myself seated before a borrowed typewriter in a tower suite at the Chateau Marmont, in Los Angeles.
I find myself seated on a bench on the outer rim of Vanak Square, swarming with morality police, when another man takes a seat beside me.
I found myself seated next to a 4-year-old girl attending her very first professional baseball game with her family.
Some years later, when I was head of the seminary's student body, I found myself seated next to the archbishop at a dinner.
