To approach a foreign client online for digital marketing services, you can follow these steps:

1. Identify your target market: Research and identify the country or region where you want to offer your services. Determine the language, culture, and market trends in that region.
2. Build a strong online presence: Create a professional website and social media profiles that showcase your services, expertise, and testimonials from past clients.
3. Develop a targeted email campaign: Create a targeted email campaign to introduce your services to potential clients. The email should be personalized, clear, and concise.
4. Attend relevant online events: Participate in online events such as webinars, conferences, or forums related to digital marketing. This will help you to build your network and showcase your expertise.
5. Collaborate with local partners: Collaborate with local partners such as marketing agencies or businesses that can refer you to potential clients.
6. Use online marketing tools: Use online marketing tools such as SEO, PPC, or social media advertising to target your audience and generate leads.
7. Be flexible and open to cultural differences: Be flexible and open to cultural differences while communicating with your foreign clients. Adapt your communication style and business practices to meet their expectations.

Remember to be patient and persistent in your approach, as it may take some time to build relationships and win clients. By following these steps, you can effectively approach foreign clients online for digital marketing services.