Pausing and un-pausing your Google Ads campaigns does not directly impact your organic (unpaid) Google search ranking. Google Ads and organic search results operate independently, so pausing your ads won't harm your website's position in the organic search results.
However, it's crucial to remember that maintaining a consistent online presence through active and well-optimized campaigns can indirectly contribute to your digital marketing strategy. Regularly appearing in paid search results enhances your brand visibility, and a well-optimized ad campaign can drive traffic to your site, improving user engagement and signaling relevance to Google's algorithms.
In summary, you can pause and un-pause your Google Ads campaigns as needed for your business strategy without worrying about directly impacting your organic search ranking.