Pick a niche market. In a niche sector. Approach business owners directly. Offer to give service for free. Use this as an entry to win confidence and show that you are professional, after 2-3 months start adding additional services to help client that are chargeable - at low rates - since that will be the attraction (high skill-set at a low-rate) as confidence and skills produce results for client increase costs slowly but still keeping your low-rate selling point. Get reviews, testimonials - re-market services back to more clients - first of all with the same hook, later you should be able to pitch and win at cost. The issue is how to "start" working in foreign markets - not how to make money. Once you are working in those markets - it should be relatively easy to start charging if your services have value. "Remove the risk to the client." One of the biggest requirements for example is making sure you can communicate and understand the clients in overseas markets - Demonstrating this and getting experience in this field will self power larger incomes as you repeat and move forward. From the outside the dice look stacked against you - in reality they are stacked for you -- if you tackle the problem by removing the issues prospective clients will have.
If you send unsolicited emails offering anything, you will drop to the spam box and then security spam filters. If you use LinkedIn as a replacement for unsolicited spam, you will be blocked.
To attempt a foothold in this market with your skills, you should be responding to all platform (UpWork, Turk, etc) opportunities for anything that looks like your skills. As you are selected (this will not be easy either, but more productive than the unsolicited emails that we all get hundreds of times a month) you can build a small and growing base that you can then expand your relationship based on the quality of your work and the value you produce.
Just like any business.
If you are a freelancer you might find success in partnering with agencies that offer project based services. I run a software development shop (mobile app and Web) in San Francisco and the most success we have seen is through my wide network of contacts and other referrals. Having social media presence is going to be important as it is one of the primary channels you can showcase your 1. industry knowledge and 2. your service offering with little to no cost. Answer posts, help people sometimes for free and in general make yourself available to others. Always open to answering questions... email@example.com
Start by offering a free consultation. Discover their needs. Don't focus on solution until you fully understand the problem. LISTENING is the best way t do all of this.
What sorts of projects have you completed already?
For one thing, you will need grammatical precision in your English communication, unlike the imprecisely worded question you posted here. Although @Martin has made a reasonable suggestion of choosing a niche market where you can excel, that isn't how you get started. It's how you survive.
Getting started is likely to be very difficult because if you aren't able to meet people in-person, that severely limits who is willing to become a client. While work might be completed remotely, having a local agent, a face that people can speak to directly, will make it challenging to trust your service.
Trust is a key factor in making outsourcing decisions. That usually means you can expect your client list to grow very slowly, and that most of your new clients would be referrals from the early clients you win on your own.
Without having a value proposition that is exceptionally different than other outsource companies, advertising won't help you much. And if you base your differentiator on price, you're chasing some of the worst clients in an area where someone is always willing to take less.
If you have examples of work you completed for other clients elsewhere that's a place to start, especially if you have before and after comparisons that you can show.
Do your research to know why people choose to outsource whatever it is you offer. Get to know who else is competing for the business. And find the way in which you can be different and add significant value to your prospective clients.
Americans inherently distrust Chinese companies. You have a VERY steep hill to climb to win clients here.