For　the　Cauchy　problem　of　the　three-dimensional　compressible　viscoelastic　flows,　we　establish　the　optimal　temporal　decay　rates　of　the　all-order　spatial　derivatives　of　the　global　strong　solution　in　the　weaker　initial　condition.　The　main　novelty　of　this　paper　is　that　the　optimal　decay　estimates　of　the　highest-order　derivatives　of　the　solution　is　obtained　by　using　spectral　analysis　and　energy　method,　which　can　be　considered　as　the　further　investigation　to　[X.　Hu　and　G.　Wu,　Global　existence　and　optimal　decay　rates　for　three-dimensional　compressible　viscoelastic　flows,　SIAM　J.　Math.　Anal.　45　(2013)　2815-2833]　with　only　the　lower-order　derivative　estimates.　　©　2023　World　Scientific　Publishing　Company.