Ramana Maharshi, with all due respect, taught about a formless, eternal, and ever-peaceful Self along the lines of non-dual Advaita and other expressions in the later Upanishads.
In DN1, SN 22.94, and other suttas the Buddha listed this as a type of wrong view, along with a number of other wrong views, with viññana, consciousness, taught as being conditional.
There have been a number of debates, including posts on D&D, about whether parinibbāna is a kind of ever-blissful awareness that is unrelated to the senses and any conditions (Ven. Thanissaro, “The Truth of Rebirth” for example), and others who say the teachings point to extinguishment/cessation, full stop.
So the quote by the Maharshi could indirectly reflect a view taken by some Buddhists (who of course do not use “Self”). But finding support for this in the Nikayas appears to be dicey.
