The key for chess is to memorise the board coordinates of a move’s target square. As @zweb_chess points out, the piece to move will usually be obvious. You can go further by memorising something like algebraic notation using @Rajadodve786’s 3-digit system, which will make the move clear almost all the time.
However there are still rare moves that are ambiguous, e.g. when two knights can move to the same square, and both moves look sensible. This kind of thing happens most often when there is a series of captures on the same square.
This is why I made Picture Notation. Each move is shown unambiguously by a single word. The consonant sounds identify the target square (using the major system), and the number of syllables identifies the piece (using a priority system, ordering candidate pieces from the back rank and queenside). e.g. 1.Nf3 is jam or gym, 1.f3 is gymnast or shampoo.
If you’re interested there’s a tutorial here:
and a conversation here: