After installing nRF Connect for Desktop on macOS, I hit "Install" for Toolchain Manager, and then "Open".
This opens a new window for the Toolchain Manager, which says it has experienced an "unrecoverable error", with the trace
Error: EACCES: permission denied, mkdir '/opt/nordic/ncs' at Object.mkdirSync (fs.js:823:3) at Object.mkdirsSync (/Users/austinhsieh/.nrfconnect-apps/node_modules/pc-nrfconnect-toolchain-manager/node_modules/fs-extra/lib/mkdirs/mkdirs-sync.js:31:9) at t.default (/Users/austinhsieh/.nrfconnect-apps/node_modules/pc-nrfconnect-toolchain-manager/dist/bundle.js:6:83404) at /Users/austinhsieh/.nrfconnect-apps/node_modules/pc-nrfconnect-toolchain-manager/dist/bundle.js:12:38864 at is (file:///Applications/nRF%20Connect.app/Contents/Resources/app.asar/dist/app-bundle.js:33:83208) at vl (file:///Applications/nRF%20Connect.app/Contents/Resources/app.asar/dist/app-bundle.js:33:102287) at t.unstable_runWithPriority (file:///Applications/nRF%20Connect.app/Contents/Resources/app.asar/dist/app-bundle.js:41:3844) at Bi (file:///Applications/nRF%20Connect.app/Contents/Resources/app.asar/dist/app-bundle.js:33:45023) at ml (file:///Applications/nRF%20Connect.app/Contents/Resources/app.asar/dist/app-bundle.js:33:102046) at Zs (file:///Applications/nRF%20Connect.app/Contents/Resources/app.asar/dist/app-bundle.js:33:93595)
I believe there was a permission prompt that opened initially for directory access, which I did "allow" for. I also gave nRF Connect full disk access in system preferences. I'm on macOS Big Sur (11.5.1), with nRF Connect version 3.7.0 and Toolchain Manager 0.9.3.