The Parooz app team outlines a strategy to grow its user base from 50,000 to 2 million in six months through offline marketing, collaborations with restaurants and salons, and unique user acquisition methods such as offering complimentary Wi-Fi and discount coupons. The strategy also includes customer retention measures, such as offering premium accounts regularly, gender mix improvement tactics, and safety features like a warning button for girls. Additionally, enhancing social media presence, SEO, and content marketing are emphasized to increase visibility and engagement.