This study presents a compact, non-mechanically translated quantitative phase imaging (QPI) system based on a dispersive metalens. The system uses the transport-of-intensity equation (TIE) to retrieve phase information from intensity images captured at different wavelengths. By sweeping the illumination wavelength, the system captures a stack of through-focus images without moving the object or image planes, enabling non-motion optical zooming. The dispersive metalens provides spectral focal tuning, allowing for high phase resolution and accurate phase retrieval. The system was validated using a commercial microlens array and a phase resolution target, showing phase deviation less than 0.03 wavelength. A compact meta-microscope was developed by integrating the metalens with a commercial CMOS image sensor, achieving high performance in imaging unstained biological samples. The system offers a compact, stable platform for QPI and label-free microscopy, with potential applications in biomedical and metrological fields. The method avoids the need for mechanical scanning and bulky optical components, making it suitable for portable and miniaturized applications. The system's performance was tested on biological samples, demonstrating its capability for quantitative phase imaging with high accuracy and resolution. The study highlights the potential of dispersive metalenses in enabling compact and robust QPI systems for various applications.This study presents a compact, non-mechanically translated quantitative phase imaging (QPI) system based on a dispersive metalens. The system uses the transport-of-intensity equation (TIE) to retrieve phase information from intensity images captured at different wavelengths. By sweeping the illumination wavelength, the system captures a stack of through-focus images without moving the object or image planes, enabling non-motion optical zooming. The dispersive metalens provides spectral focal tuning, allowing for high phase resolution and accurate phase retrieval. The system was validated using a commercial microlens array and a phase resolution target, showing phase deviation less than 0.03 wavelength. A compact meta-microscope was developed by integrating the metalens with a commercial CMOS image sensor, achieving high performance in imaging unstained biological samples. The system offers a compact, stable platform for QPI and label-free microscopy, with potential applications in biomedical and metrological fields. The method avoids the need for mechanical scanning and bulky optical components, making it suitable for portable and miniaturized applications. The system's performance was tested on biological samples, demonstrating its capability for quantitative phase imaging with high accuracy and resolution. The study highlights the potential of dispersive metalenses in enabling compact and robust QPI systems for various applications.