It is a major step on the road to next month's EuroBasket Women finals in France which will see GB bid for a place at the 2014 World Championships, as well as European glory.
Jennings, whose new-look squad includes a mix of last summer's Olympic team and a cluster of younger prospects, expects the three visitors to provide his squad with a stern examination, he commented: "The beauty of this weekend is that they offer us very different challenges. Three distinctly different tests, but certainly high-calibre European-level play.
"The Germans are very organised, the Israeli domestic league has had a lot of our players in it and Greece are new to us; we don't know much about them but everyone knows that Greek basketball is very good.
"The Germans and Israelis have got two or three quality players. Germany's Romy Bar is an impressive player, as is Anne Breitreiner. Israel's Liron Cohen has been in the WNBA, and is constantly in the Euroleague, as is Shay Doran."
Israel provide the opening test for GB on Saturday (tip-off 17:00 GMT) with the visitors looking to avenge their first round loss to Britain at Eurobasket 2011.
"When we played Israel in Poland it was an exciting game because the win put us through to the next round, and it was a must-win for us," recalls GB forward Chantelle Handy.
"Every time we play them it's an emotional game and it'll be interesting to see where we stand now after two years."
It is expected that Sunday's game against Germany (tip-off 17:00 GMT) will see Welsh-based guard Stef Collins become the first British international, male or female, to earn 100 caps. Jennings, who previously coached the veteran at club level with Cardiff Archers, has hailed Collins' accomplishment of being an ever-present since the GB side was re-established seven years ago and said: "I'm incredibly proud, Stef has not missed a game since the very beginning and GB celebrate their 100th game at the same time.
"What an impressive feat for someone to stay that healthy, stay on top of her game and be considered the starting point guard of Great Britain throughout the Olympic Games.
"On a personal note, as her coach at club level for six years leading up to this, it makes me really proud to coach her through this 100th cap as well."
Great Britain will wrap up the tournament on Monday against Greece (tip-off 17:00 GMT), who are currently ranked 19th in the world, five places above Great Britain.
Handy said: "I think it's going to be fun this weekend. We've played Israel and Germany in the past few years and Greece we've never played, so I think that's going to be an exciting game.
"Israel and Germany will have some new players and obviously we're a new team so I think it's going to be interesting to see how we can match up against each other."
Sunday's GB game against Germany at the British Basketball Invitational Tournament 2012 presented by Standard Life will be streamed live via the GB Basketball website (www.gbbasketball.com).