Yes the verbalization is called the "bol". "Bol" in hindi means things like "word", "speak", "lyrics", etc. Indian classical musicians don't use sheet music, so they have to orally pass down their teachings. The bol that Zakir Hussain (and all other tabla players) say _are_ the notes that they play. Word for word/note for note. Each sound on the tabla has its own name, which is expressed as an onomatopoeia like "dhin". Then you can verbalize the percussion you're about to play.
https://youtu.be/e8tfg2GBYP8?t=1549
Here's a great composition being verbalized, explained, and played by Zakir Hussain and his brother.
It's called bol[1] in Hindustani music, and koṉṉakkōl[2] in Carnatic music. The basic 4-count syllables are 'na dhin dhin na' in the former, and 'ta ka dhi mi' in the latter.
[1]: https://en.wikipedia.org/wiki/Bol_(music)
[2]: https://en.wikipedia.org/wiki/Konnakol
Both are easily heard and seen performed by live musicians in the archetypal North and South Indian dance forms, Kathak and Bharatanatyam respectively.
So in the spirit of "pass the goddamn butter" [0] I was introduced to konnakol via this book [1] some time ago. There seems to be a lot of truth in the the notion: "if you can say it you can play it". Once I can "vocalize it" it is way easier to translate that into the instrument itself. It is very intuitive to learn this e.g. the "takadimi" route.
[A pretty fun dissection of a Meshuggah song with the help of konnakol.][2]
[0]https://m.youtube.com/watch?v=1NI4QAh_V3w
[1]https://www.amazon.com/You-Can-Ta-This-Precision/dp/19300800...