It is true that in American Sign Language (ASL), orientation indeed refers to the direction in which your palm is facing when making a sign.
The orientation of the handshape and palm do affect the meaning of a sign. ASL relies on various parameters including handshape, location, movement, facial expressions and palm orientation, to convey meaning.
For example, the signs for "mother" and "father" have the same handshape and movement but they differ in palm orientation. The palm orientation for "mother" faces the signer while the palm orientation for "father" faces outward.
This distinction in palm orientation is important in ASL as it distinguishes between signs with similar handshapes and movements as well as adding depth and clarity to the language.
The full question is:
In american sign language (asl), orientation refers to the direction your palm is facing when signing. True/False