Based on your description, this chord almost definitely should be labeled Cmin6 or Cmin6/9 if you want to provide more specificity.
You can probably find this exact chord voicing in either The Jazz Piano Book or The Jazz Theory Book, both by Mark Levin. In solo piano, it's expected that some/most chord voicings will omit the root, particularly in a section of a piece where the chords are not changing quickly or are not changing at all. Playing the root on every note would sound odd and would not allow room for playing the chords with more complex rhythms. In a band setting, it's very intuitive that we shouldn't stipulate the constraint that the harmony must always be played in rhythm with the bass. For example, in a jazz quartet with piano, bass, drums, and saxophone, we wouldn't expect the bassist to play the root note every single time the pianist plays a rootless chord when comping. (If you were to pick up any jazz album put out in 1990 or later that features a piano-bass-drums rhythm section and transcribe the pianist's chords when he/she is comping, I bet at least 50% of those chords are rootless.) In solo piano, both of these functions--bass and harmony--are performed on one instrument instead of being split across two instruments. And just like the band setting, we likewise wouldn't want to constrain the solo pianist by requiring that every chord he/she plays be accompanied by a bass note. So when you look at the D Eb A voicing, what was the most recent bass note played in the bass register? C. That's still the bass note for this D Eb A chord. What you have here is an extremely common progression (Cmin - Cmin6 - Cmin - Cmin6) which switches between the fifth and the natural sixth. It's a really nice sound.
I highly doubt the chord is D sus ♭2. If a sus ♭2 chord exists at all, then it's extremely rare, and I wouldn't expect a song to use such an uncommon/nonexistent chord without also establishing a D in the bass register. (It sounds like the piece does not play a D in the bass register.)
If you don't want to label the chord, you could instead show the voice leading alternates between G and A, as another answer states. But if you're looking for a name with which to label this chord, I would use either Cmin6 or Cmin6/9. It's not going to be the exact 1-3-5-6-9 chord you see on Wikipedia, but it is still a common way to voice Cmin6/9 (i.e., without the 5th or the root).