Saving America's Mines Act This bill bars the President, the Department of the Interior, or the Department of Agriculture from declaring a moratorium on or reversing any existing lease, permit, or claim, for the mining and extraction of any critical mineral or common varieties of sand, stone, and gravel on National Forest System or Bureau of Land Management land unless specifically authorized by statute or upon the lessee, permittee, or claimant's failure to comply with any of the provisions of its agreement.