<p>The asynchronous resilient <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(H_\infty \)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> dynamic state feedback (DSF) control problem for a class of uncertain discrete-time switched nonlinear systems with input quantizations is studied in this paper. The asynchronous switching means that the moment the system switches, the controller that matches it does not switch immediately and will lag behind the system. To approximate all the nonlinear subsystems, the Takagi-Sugeno (T-S) fuzzy model is used to model the switched nonlinear systems. Due to the limited communication capabilities, the static quantizers are used to quantize the input signals. Considering the uncertainties present in the switched systems and controller gains, the aim is to design a set of asynchronously resilient <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(H_\infty \)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> DSF controllers such that the closed-loop switched systems are globally uniformly asymptotically stable (GUAS) and satisfy the <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(H_\infty \)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> performance. Sufficient conditions about designing the desired <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(H_\infty \)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> controllers are established as linear matrix inequalities (LMIs) based on the average dwell time (ADT) method and multiple Lyapunov functions (MLFs). Finally, the validity of the results can be obtained by a numerical example and a practical example.</p>