Annitta is of Scandinavian origin, deriving from the Old Norse name Ánett, which is composed of the elements 'ani' meaning 'ancestor' and 'tókr' meaning 'takes'. It was introduced to Europe through the Vikings during their migrations and settlements. In some cultures, Annitta is considered a variant spelling of Anna, which has roots in Hebrew as well as being popularized by various saints throughout Christian history.
The name Annitta experienced fluctuations in popularity during the mid-20th century, with peaks in the late 1950s and early 1960s. It was most popular between 1958 and 1960, seeing a total of 33 births across these three years. However, it appears to have fallen out of favor by the late 1970s as there are no reported births after 1972. Overall, Annitta was given to 81 babies over this period.