The current English education space has problems such as low utilization of resources, irrational layout design and lack of functional area differentiation, which seriously affects the teaching effect. As an important carrier of national culture, the integration and application of traditional cultural elements in English education space is of great significance, which can not only enhance the sense of cultural identity, but also improve the attractiveness and educational value of the learning environment. This study explores the feasibility of combining traditional cultural elements in housing design with English education space under cross-cultural perspective. The VGG-19 style migration algorithm is adopted to realize the organic integration of the innovative design of traditional cultural elements and English education space through convolutional neural network technology. A feasibility assessment system containing 5 primary indicators and 20 secondary indicators is constructed, and quantitative analysis is carried out using hierarchical analysis and fuzzy comprehensive evaluation method. The experimental results show that the VGG-19 algorithm takes only 0.705 seconds to process a 512×512 pixel image, which is an obvious improvement compared with the 0.905 seconds of the AlexNet algorithm, and the convergence speed reaches 300 rounds of training to be close to the minimum value, while AlexNet needs 2600 rounds. The structural similarity index SSIM reaches 0.179 and the peak signal-to-noise ratio PSNR is 9.942. The results of the feasibility evaluation show that the weights of the level 1 indicators are 0.2249 for cultural integration feasibility, 0.2034 for functional implementation feasibility, and 0.2513 for economic sustainability. The fuzzy comprehensive evaluation affiliation degree is 3.8251, and the evaluation result is excellent grade. The study confirms that the integration of traditional cultural elements with English education space has high feasibility, can effectively improve the quality of teaching environment and educational effect, and provides scientific basis and practical guidance for the design of crosscultural English education space.
