diff --git a/test/es-module/es-module.status b/test/es-module/es-module.status
index 58a422dc152..32b712cbef0 100644
--- a/test/es-module/es-module.status
+++ b/test/es-module/es-module.status
@@ -13,3 +13,7 @@ test-esm-loader-http-imports: PASS,FLAKY
 [$arch==arm || $arch==arm64]
 # https://github.com/nodejs/node/issues/47297
 test-wasm-web-api: SKIP
+
+[$system==ibmi]
+# https://github.com/nodejs/node/issues/58582
+test-wasm-web-api: PASS,FLAKY
diff --git a/test/parallel/parallel.status b/test/parallel/parallel.status
index 551cb8db119..8b9a4e80a08 100644
--- a/test/parallel/parallel.status
+++ b/test/parallel/parallel.status
@@ -139,6 +139,14 @@ test-tls-client-mindhsize: PASS, FLAKY
 test-tls-write-error: PASS, FLAKY
 # https://github.com/nodejs/node/issues/48047
 test-http-pipeline-flood: SKIP
+# https://github.com/nodejs/node/issues/58582
+test-http-proxy-fetch: PASS, FLAKY
+test-https-proxy-fetch: PASS, FLAKY
+test-inspector-network-fetch:  PASS, FLAKY
+test-fetch:  PASS, FLAKY
+test-without-async-context-frame: PASS, FLAKY
+test-process-cpuUsage: PASS, FLAKY
+
 
 [$asan==on]
 # https://github.com/nodejs/node/issues/39655
diff --git a/test/report/report.status b/test/report/report.status
index 7ef99b5c8ed..3832cb760db 100644
--- a/test/report/report.status
+++ b/test/report/report.status
@@ -9,3 +9,7 @@ prefix report
 [$system==solaris] # Also applies to SmartOS
 # https://github.com/nodejs/node/issues/43457
 test-report-fatal-error: PASS, FLAKY
+
+[$system==ibmi]
+# https://github.com/nodejs/node/issues/58582
+test-report-exclude-network: PASS,FLAKY