The reservations are sovereign nations, they don't need the US Governments approval for anything!
That taint so McGee. Seems they do when it comes to oil and gas.
https://oilandgasbmps.org/laws/tribal/While the IMLA and tribal civil penalties create significant control over oil and gas developments, the developments are also subject to federal control. In particular, the Bureau of Indian Affairs (“BIA”) issued Mineral Development Leasing Regulations and Oil and Gas, Geothermal, and Solid Minerals Agreement governing Indian mineral agreements. BIA Mineral Development Leasing Regulations are regulations issued by the BIA regarding leases and permits for the development of Indian tribal oil and gas, geothermal, and solid mineral resources. Additionally, elements of Bureau of Land Management (“BLM”) regulations may be applicable to energy development activities if the agency is involved in the review and approval of the activities, and the Bureau of Land Management Oil and Gas Development Regulations may apply. The BLM supervises and approves most oil and gas operations on American Indian tribal lands although the BIA issues permits. As a result, some BLM-issued BMPs may be applicable to tribal lands.