Broxburn-born Fleming played in the Davis Cup in 2016, and also partnered Jamie Murray at Wimbledon.
While Britain’s men have enjoyed home ties in the Davis Cup – including in 2015 when they won the title – the women have played in 15 countries since their last home match in Nottingham in May 1993.
The British team, who will also face Greece and Hungary, consists of Katie Boulder, Johanna Konta, Heather Watson, Katie Swan and Harriet Dart.
“You tend to find a lot of players thrive on it,” said Fleming.
“I personally love team environments and when [captain] Anne Keothavong asked me to join the support staff I jumped at the chance, it’s such great fun.”