Correct spelling for the English word "Disagreeance" is [dˌɪsɐɡɹˈiːəns], [dˌɪsɐɡɹˈiːəns], [d_ˌɪ_s_ɐ_ɡ_ɹ_ˈiː__ə_n_s] (IPA phonetic alphabet).
Disagreement.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
The word disagreeance is not commonly used in standard English, and it is considered nonstandard or obsolete. It primarily derives its roots from the verb disagree and the suffix -ance.
The verb disagree originates from the Middle English word disagreyen, which built upon the Old French desagreer, ultimately derived from the Latin prefix dis- meaning apart or not and the Latin verb gratum meaning pleasing.
The -ance suffix, borrowed from Old French, is used to form nouns expressing a state or condition. In this case, disagreeance would create a noun meaning the state or condition of disagreeing.
However, the commonly used word to express this concept in the English language is disagreement.