if you have an arranged employment then yes, you can apply for FSW. I do think that the job offer must be okay by the government to be counted as an AEO. I am not sure of the process or even if i am correct in what i am saying.
The arranged job offer needs to be approved by HRSDC. The employer applies for the AEO. When he gets a positive AEO, he sends it to the employee to use it for immigration, see http://www.hrsdc.gc.ca/eng/workplaceskills/foreign_workers/poarremp.shtml