Parity of an encrypted key Does encrypting a double-length 3DES application key (that has an odd parity) under a double-length 3DES zone master key (also with an odd parity) affect the parity of the application key?
No it does not affect the parity bits.

The plaintext or ciphertext doesn't have any parity bits specified. The application key is just a input to the cipher, which is a Pseudo Random Permutation. Permutation means a 1:1 mapping from plaintext - including parity bits - to the ciphertext. If you perform the permutation in the opposite direction the plaintext - again including the parity bits - will be restored.

The same goes if the master key is used within a specific mode of operation for the block cipher; the 1:1 relationship between plaintext and ciphertext will be maintained.

Note that as the ciphertext doesn't have any parity bits, the parity of the ciphertext is completely random; the parity of the plaintext is not mirrored in the parity of the ciphertext in any way. That also means that if you perform key derivation with the master key that you need to explicitly set the parity afterwards.

Note that some libraries do not actually validate the parity bits. It's better to set them none-the-less.