Hello, I am Yoshi from NILS Japanese language school.
We are often asked about the flight to Fukuoka by the students from North America and Europe. A typical flight to Fukuoka from your coutry is following.

Major cities in North America and Europe → Narita, Tokyo → Fukuoka

You can arrive at Fukuoka Airport between 7:00 pm to 9:00 pm with the above flight. We will pick you up at the airport and take you to each place you will be staying at.
If you fly from the United States or Canada, you can first fly directly to Seoul, South Korea from major cities in your country , and then to Fukuoka. If you fly from Europe, you can also fly to Fukuoka via Singapore, Hong Kong, and some major cities in Southeast Asia. However, we are sure that it will be a long flight. Some will have a jet lag for the first few days, so we strongly recommend you arrange your flight to arrive in Fukuoka 2-3 days prior to your preferred starting date.

April 6th News, from NILS Japanese langaugeschool.