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In this work, we find that the intermediate metals will become a scale-invariant critical metal phase (CMP) under certain types of quenched disorder that respect the magnetic crystalline symmetries on average. We explicitly construct models respecting average <jats:italic>C<\/jats:italic><jats:sub>2<jats:italic>z<\/jats:italic><\/jats:sub><jats:italic>T<\/jats:italic>,\u2009<jats:italic>m<\/jats:italic>, and <jats:italic>C<\/jats:italic><jats:sub>4<jats:italic>z<\/jats:italic><\/jats:sub><jats:italic>T<\/jats:italic> and show their scale-invariance under chemical potential disorder by the finite-size scaling method. Conventional theories, such as weak anti-localization and topological phase transition, cannot explain the underlying mechanism. A quantitative mapping between lattice and network models shows that the CMP can be understood through a semi-classical percolation problem. Ultimately, we systematically classify all the OAI transitions protected by (magnetic) groups <jats:inline-formula><jats:alternatives><jats:tex-math>$$Pm,P{2}^{{\\prime} },P{4}^{{\\prime} }$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>P<\/mml:mi>\n                  <mml:mi>m<\/mml:mi>\n                  <mml:mo>,<\/mml:mo>\n                  <mml:mi>P<\/mml:mi>\n                  <mml:msup>\n                    <mml:mrow>\n                      <mml:mn>2<\/mml:mn>\n                    <\/mml:mrow>\n                    <mml:mrow>\n                      <mml:mo>\u2032<\/mml:mo>\n                    <\/mml:mrow>\n                  <\/mml:msup>\n                  <mml:mo>,<\/mml:mo>\n                  <mml:mi>P<\/mml:mi>\n                  <mml:msup>\n                    <mml:mrow>\n                      <mml:mn>4<\/mml:mn>\n                    <\/mml:mrow>\n                    <mml:mrow>\n                      <mml:mo>\u2032<\/mml:mo>\n                    <\/mml:mrow>\n                  <\/mml:msup>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>, and <jats:inline-formula><jats:alternatives><jats:tex-math>$$P{6}^{{\\prime} }$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>P<\/mml:mi>\n                  <mml:msup>\n                    <mml:mrow>\n                      <mml:mn>6<\/mml:mn>\n                    <\/mml:mrow>\n                    <mml:mrow>\n                      <mml:mo>\u2032<\/mml:mo>\n                    <\/mml:mrow>\n                  <\/mml:msup>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> with and without spin-orbit coupling, most of which can support CMP.<\/jats:p>","DOI":"10.1038\/s41467-024-47467-2","type":"journal-article","created":{"date-parts":[[2024,4,9]],"date-time":"2024-04-09T14:01:37Z","timestamp":1712671297000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Anderson critical metal phase in trivial states protected by average magnetic crystalline symmetry"],"prefix":"10.1038","volume":"15","author":[{"given":"Fa-Jie","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhen-Yu","family":"Xiao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6714-8857","authenticated-orcid":false,"given":"Raquel","family":"Queiroz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6337-4024","authenticated-orcid":false,"given":"B. 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