Scales to Play Over D#m7
Every chord is a subset of several scales: any scale that contains all of a chord's tones fits over it. Pick a chord to see the matching scales from its own root, the major keys the chord belongs to, and full fretboard diagrams for every scale on guitar.
A D#m7 chord contains the notes D# – F# – A# – C#. Any scale that includes every one of those 4 tones fits over it — from the root D#, that means D# Natural Minor, D# Minor Pentatonic, D# Blues, D# Dorian, D# Phrygian, D# Dorian Bebop, D# Half Whole Diminished and D# Gypsy Major. Start with the first scale listed: it is the most common choice, and the others color the same chord tones differently.
D#m7 is also diatonic to 3 major keys: B major (relative minor G#m), C# major (relative minor A#m), F# major (relative minor D#m). In a song from one of those keys you can also solo with the key's own major scale or its relative minor pentatonic across the whole progression, not just this chord.