Bilic was also delighted with fellow debutant Edmilison Fernandes.
“Arbeloa didn't play for a long time but he played the full 90 minutes and he is going to bring us experience and quality," said Bilic.
“Of all the players on the pitch, I am most pleased with Fernandes. He is also a good player. He is young but has the quality and confidence to play forward. He came out with a big plus."