I assume you mean the cyrillic-translit
input method.
The supported way is to identify each binding with a slash as prefix by looking at quail/cyrillic.el
and unbind it individually:
(quail-defrule "/d" nil "cyrillic-translit")
[...]
(quail-defrule "/t" nil "cyrillic-translit")
The unsupported way is to look at quail's code to perform introspection on the input method, find where the slash is defined in its keymap and unset it:
(quail-select-package "cyrillic-translit")
(dolist (binding (cdr (quail-map)))
(when (= (car binding) ?/)
(setcdr binding nil)))
To defer evaluation of that code inside your init file:
(with-eval-after-load "leim/quail/cyrillic"
(quail-select-package "cyrillic-translit")
(dolist (binding (cdr (quail-map)))
(when (= (car binding) ?/)
(setcdr binding nil))))
One last issue with this is that there doesn't seem to be any supported way of temporarily working with a quail package. Whether that is a problem in practice, you tell me.