As of my last knowledge update in September 2021, I cannot provide real-time information or specific rankings for call center management software in 2023. However, I can mention some well-known Call Center Management Software solutions that were popular and highly regarded as of my last update. Please note that the landscape may have changed, and it's essential to conduct your research and evaluations to determine the best fit for your specific needs in 2023. Here are some notable options:

1. Samparkccs: samparkccsoffers a comprehensive customer service and support platform, including call center features, live chat, email, and more.

2. Freshdesk: Freshdesk, by Freshworks, provides a cloud-based customer support software suite with call center capabilities.

3. Five9: Five9 is a cloud contact center platform known for its scalability and features like predictive dialing, IVR, and analytics.

4. Genesys: Genesys offers omnichannel customer experience and contact center solutions for businesses of all sizes.

5. Talkdesk: Talkdesk is a cloud-based contact center solution known for its ease of use and integration with various other software tools.

6. Avaya: Avaya provides a range of contact center solutions, including on-premises and cloud-based options, with a focus on unified communications.

7. Twilio Flex: Twilio Flex is a highly customizable cloud-based contact center platform built on the Twilio platform, allowing businesses to create tailored solutions.

8. RingCentral: RingCentral's cloud communications platform includes call center capabilities and integrates with team messaging and video conferencing.

9. NICE inContact: NICE inContact offers a cloud-based contact center solution with advanced analytics and omnichannel capabilities.

10. Cisco Contact Center: Cisco provides a range of contact center solutions, including Cisco Contact Center Enterprise and Cisco Contact Center Express.

Please keep in mind that the best Call Center Tools software for your organization depends on your specific requirements, budget, and size. I recommend thoroughly evaluating each option, considering your current and future needs, and reading reviews and case studies to make an informed decision for 2023. Additionally, industry rankings and user feedback can provide valuable insights into the performance of these software solutions in the current year.