Turnkey supports Stacks address derivation with ADDRESS_FORMAT_COMPRESSED and ADDRESS_FORMAT_UNCOMPRESSED address formats. Stacks addresses are derived from the secp256k1 curve, which Turnkey fully supports.
Turnkey supports Stacks transaction signing through the core signing capabilities. We have an example respository that demonstrates how to construct and sign Sui transactions:
examples/with-stacks: A sample script that demonstrates how to sign a Stacks transaction with Turnkey. Stacks uses the secp256k1 cryptographic curve for transaction signing, but there some specific data formatting that takes place for the signing process.