You Must Bring a Lawsuit Within Specified Time Periods; Otherwise You Will Lose Your Right to Sue Arizona law provides time limits within which a personal injury or wrongful death claim must be settled or a lawsuit initiated. These time limits are known as Statutes of Limitations. If a lawsuit is not filed in the proper court within the time limit set by Arizona law, the right to recover compensation may be lost. The time limit may vary depending upon a number of factors, including the type of legal action involved, how or where the injury or death occurred, or the legal status of the parties