Cloud computing is the most recent technology to emerge in the last several decades. Which has gained significant popularity across various organizations because of the benefits it offers, including cost reduction, resource pooling, broad network access, and ease of administration. It is a great platform for users to share data or applications on remote servers that can be processed and accessed through the Internet. However, as the demand for cloud computing grows along with the amount of data being transferred and stored in the cloud environment, ensuring data security has become a major concern. Securing data at rest and in transit is one of the most pressing issues faced by cloud computing. Therefore, many researchers have contributed to address the problem of data security in cloud computing while enabling effective data transmission by developing a variety of technologies to secure and compress cloud data, including data encryption and compression. In terms of achieving a high level of security and a high compression ratio, this survey is proposed to provide an overview of data compression and encryption techniques used to enhance data transmission and prevent unauthorized access to sensitive data. Also, we represent a comparative study between data encryption and compression algorithms, especially applied to textual data in the cloud. The comparative study encompasses the methodology, results, and limitations encountered when combining techniques in both domains. Moreover, we propose an approach to enhance security, address previous issues, and achieve higher levels of security and storage efficiency in cloud data transmission.