Strategic Lawsuits Against Public Participation Protection Act of 2022 or the SLAPP Protection Act of 2022 This bill establishes a motion in federal courts to allow for the dismissal of a claim with prejudice if (1) that claim is shown to be based on the moving party's exercise of free speech, (2) the responding party cannot establish essential elements of the claim or that there is a genuine issue of material fact, and (3) no exception under this bill applies.