Runar Kristinsson is Iceland's most capped player and played in Belgium with Lokeren for seven years.
"It's amazing," Runarsson told Arsenal.com. "I'm extremely proud of him and what he achieved in his career and I want to make him proud.
"We've had a very good relationship from day one, obviously he's my father, but I feel we have a stronger connection than most father-son relationships and I know he's extremely proud.
"I think he would have liked to play for Arsenal as well, but he's going to have to live it through me! I had to tell him twice [that I was moving here] before he could believe me! He said you must be joking!
"My family will be extremely proud of me and I'm extremely proud of myself that I've been able to achieve this, but I think my family will experience the same amount of pride and happiness."