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In this paper, we introduce and study Gorenstein $(\\mathcal{X}, \\mathcal{Y})$-flat modules as a common generalization of some known modules such as Gorenstein flat modules \\cite{EJT93}, Gorenstein $n$-flat modules \\cite{SUU14}, Gorenstein $\\mathcal{B}$-flat modules \\cite{EIP17}, Gorenstein AC-flat modules \\cite{BEI17}, $\\Omega$-Gorenstein flat modules \\cite{EJ00} and so on. We show that the class of all Gorenstein $(\\mathcal{X}, \\mathcal{Y})$-flat modules have a strong stability. 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