"Hopefully we will renew our cooperation someday in the future. We are family as always," the club added.
The fact that the tie was decided with just one leg, rather than the traditional home and away format, meant the game was a potential banana skin for the Chinese-owned team making its first ever appearance in Europe, but Diego Martinez's side got off to a perfect start with two goals in 10 minutes.
Sawe, who started jumping while still a student at Itigo Secondary School in Kosirai in the expansive Rift Valley region, first represented Kenya at the African Athletics Championship in Porto Novo, Benin in 2012 where he won a bronze medal.
The 31-year-old had one year left on his previous contract and would have been able to leave for nothing in the summer of June 2021.
The new season is said to be Lucien Favre's last chance to turn things around after the side failed to overtake their high-spending Bavarian rivals in the past two years.
Augusto (2nd L) of Beijing Sinobo Guoan competes during the 11th round match between Hebei China Fortune and Beijing Sinobo Guoan at the postponed 2020 season Chinese Football Association Super League (CSL) Suzhou Division in Suzhou, east China's Jiangsu Province, Sept. 15, 2020. (Xinhua/Li Bo)
To keep fit, the club is holding separate training sessions of not more than five players each at different locations while beefing up its squad in readiness for continental football and defending their crown.
"I am very happy and excited. This is the next step for me. I hope to help the team and that we will fight for promotion to the Premier League. I spoke to my compatriot Krystian Bielik, who also plays here. He advised me to join the club," said the player.
Maccabi possessed the ball for most of the early period, but hardly threatened the Belarusians' goal.
In another match of group C, Persepolis FC edged Al Taawoun 1-0 as the Iraqi midfielder Bashar Resan scored the match's only goal from the penalty spot to take Iranian side to the top of the group with seven points.
It also looks as if last summer's major signing Luka Jovic could be heading out on loan, with Borja Mayoral instead being given the chance to provide back-up for striker Karim Benzema.