Die Mannschaft have made a strong start to the tournament, winning their opening two games, but after watching Vicente del Bosque's men rout Republic of Ireland on Thursday evening, the Bayern Munich forward acknowledged that the defending champions remain the team to beat in Poland and Ukraine.
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"And we have been following the other games very closely. For example, Spain yesterday [against Ireland]. Our aim must be to defeat them."
Fernando Torres netted twice in La Roja's 4-0 rout of the Irish and Gomez, who was heavily criticised for his wasteful display against Chelsea in the Champions League final, is pleased that his fellow forward has rediscovered his goalscoring touch.
"Torres had the same problems as me," the 26-year-old mused. "So I was very happy that he scored twice after a very hard season with Chelsea."
Gomez has scored all of his country's tournament goals to date, netting the only goal of the game against Portugal before striking twice in the 2-1 win over Netherlands.
The former Stuttgart hitman is now the clear favourite to top the goalscoring chart, but he insists that he is not thinking about individual accolades.
"Being top scorer is not important for me," he stated. "What's important is that we win the cup."
Gomez will be hoping to continue his impressive run in Sunday's final Group B fixture against Denmark.