"The longing for a title is as great as ever in all of us. We will do everything to win it," said Low before his team arrived at their secluded five-star hotel ahead of Saturday's first Group B match against Portugal in Lviv, Ukraine.
Germany are based in the Baltic port of Gdansk, Poland, for the duration of the EURO, which starts on Friday with the final in Kiev on 1 July, with all their Group B games taking place in Ukraine.
The Germans have had minor set backs in their final preparations after a largely second-string team suffered a shock 5-3 defeat to Switzerland, while midfield star Schweinsteiger has been recovering from a calf injury.
Schweinsteiger strained his left calf a fortnight ago when Bayern Munich lost the UEFA Champions League final 4-3 on penalties to Chelsea as his missed spot-kick in the shoot-out helped the Blues seal victory.
The 27-year-old took a full part in training on Monday having been given the green light from the team doctor when the squad held an open training session at local club Lechia Gdansk soon after their arrival.
Arsenal-bound forward Lukas Podolski, who turned 27 on Monday and was born in Poland, was presented with a birthday cake by the squad before the Germans trained and the crowd of around 8,000 sang 'Happy Birthday' to him in Polish.
Along with Schweinsteiger, Podolski is in a core group of players central to Low's hopes of bringing home a fourth European crown, having last lifted the title in 1996 after also winning the 1972 and 1980 tournaments.
After giving his players the weekend to relax before the three-week long tournament, Low was upbeat. "There is no reason not to look forward to these championships," said the 52-year-old, who will be looking to land his first trophy as German coach after taking them to the EURO 2008 final and third at the 2010 FIFA World Cup™.
"We're ready, we've trained well and we are happy that it's about to start," he added. "On Friday, we will decide who will play against Portugal with plenty of enthusiasm."
With the quartet of Borussia Dortmund midfielder Mario Goetze, Arsenal defender Per Mertesacker, Lazio striker Miroslav Klose and Schweinsteiger all returning from recent injuries, Low still has a few decisions to make.
Should Schweinsteiger fail to be fit in time, Bayern team-mate Toni Kroos is most likely to partner Real Madrid's Sami Khedira in the defensive midfield role. As he did in last Thursday's 2-0 friendly win against Israel, captain Philipp Lahm is set to start on the left with his Bayern team-mate Jerome Boateng on the right.
Low needs to choose between Dortmund's Mats Hummels, Bayern's Holger Badstuber and Mertesacker for the two places available at centre-back.
For the single striker berth, Bayern's Mario Gomez is vying with Lazio veteran Klose, who turns 34 on Saturday, and is just five goals short of Gerd Mueller's all-time record for Germany of 68 in 62 appearances.
Low has promised his players an intense week of training with Holland and Denmark still to come in Group B after Portugal. "We need to be very focused this week, there is still much work ahead of us," said Low.
Having flown the Germans from Frankfurt to Gdansk in one of Lufthansa's flagship Boeing 747-8s, pilot Peter Haenzel said he hoped he could also fly them home as European champions. "I hope that I will be allowed to fly them home on 2 July after the final in Kiev," he said as part of his onboard announcement.