Manuel Pellegrini wanted Liverpool goalkeeper Adrian to remain at the club this summer.
The Spaniard chose to make the move to the Reds, despite knowing he would be second choice.
An early season injury to Alisson Becker gave him a chance to shine in the UEFA Super Cup - a chance he grabbed with both hands.
Speaking about Adrian's recent display, his former Hammers coach Pellegrini said to reporters: "I'm very happy for him, because he played a lot of years here at West Ham. He's a very good goalkeeper.
"For different reasons he couldn't find an arrangement to continue here. We wanted him here because not only is he a good goalkeeper but he is a good player for the squad.
"He signed for Liverpool and put in a very good performance and I'm happy for him."