Zeezrom desires to be healed. However, from the words of Alma, we understand that there is more than the body to be healed, a fact doubtless well understood by Zeezrom. The most important question is whether or not Zeezrom believes in Christ. Not only believes in Christ, but believes in the "power of Christ unto Salvation" (Alma 15:6).
According to Brant Gardner, this is important because it requires a complete restructuring of Zeezrom's beliefs. To believe in the power of Christ unto salvation requires that Zeezrom first see Christ as the Atoning Messiah, a concept the Nehorites deny. He must secondly see that there are sins which will require this Atonement, another doctrine denied by the Nehorites. Thus Alma is asking if Zeezrom has been completely converted. [Brant Gardner, Book of Mormon Commentary, [http://www.highfiber.com/~nahualli/] LDStopics/Alma/Alma15.htm, pp. 2-3]