Bradley came up trumps after Douglas Maicon was sent off.
"The goal was wonderful, especially with that move when down to 10 men. More than in other games, today we needed fresh legs off the bench like Bradley and Marquinho. We had to remain dangerous and work even harder, playing to win even when a man down and that is a good sign," said Garcia.
"When you're a man down, it's important to keep the lines tight and focus on pace and set plays. You provoke good fortune, it doesn't just come to you.
"We were without Francesco Totti or Gervinho today, so everyone is important. The man on the bench today could be the starter tomorrow, so everyone has to be on their toes."
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