As none of the current developers uses iOS, the following instructions are what was found to work in our Azure CI setup, but as far as we know this builds a fully working OpenBLAS for this platform.
Go to the directory where you unpacked OpenBLAS,and enter the following commands:
CC=/Applications/Xcode_12.4.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/clang
CFLAGS= -O2 -Wno-macro-redefined -isysroot /Applications/Xcode_12.4.app/Contents/Developer/Platforms/iPhoneOS.platform/Developer/SDKs/iPhoneOS14.4.sdk -arch arm64 -miphoneos-version-min=10.0
make TARGET=ARMV8 DYNAMIC_ARCH=1 NUM_THREADS=32 HOSTCC=clang NOFORTRAN=1
Adjust MIN_IOS_VERSION as necessary for your installation, e.g. change the version number
to the minimum iOS version you want to target and execute this file to build the library.