The Spaniard has already outlined his top priorities to the club's hierarchy, with reports from The Sun claiming he wants to raid both Real Madrid's academy and first-team squad to strengthen his attack.
Fulham's need for reinforcements up front is pressing following the permanent departures of Harry Wilson and Raul Jimenez, leaving the club's sporting department well aware they must back their new coach's requests if they are to compete credibly in the top half of the table.
Gonzalo Garcia, 22, is the top target for the centre-forward role, with the youngster's movement and instinct in front of goal fitting neatly into Arbeloa's tactical plans after scoring eight goals in 39 appearances for Real Madrid last season. London's boardroom is already preparing the first formal approaches to negotiate his transfer this summer.
The second player on Arbeloa's list is 18-year-old Argentina prospect Franco Mastantuono, for whom Real Madrid paid close to €45m from River Plate. The teenager made 35 appearances (1,484 minutes) last season, though it remains unclear whether he would welcome regular football in England. Fulham's preference is to explore a loan or another financial structure that would satisfy Real Madrid's hierarchy at the Santiago Bernabeu.
Real Madrid are carefully weighing up any approach from England, mindful of the potential both youngsters possess, but club officials also recognise that regular first-team football elsewhere could benefit their long-term development.
Arbeloa's arrival in English football is expected to be one of the season's more intriguing storylines following his departure from the Bernabeu, with Fulham's supporters now awaiting confirmation of their new coach's first marquee additions before pre-season training gets fully underway.
Arbeloa's deep knowledge of Real Madrid's squad, built up during his time coaching the club's academy sides before a spell in interim charge of the first team, is seen as a genuine advantage in any negotiations, with his personal relationships with both players considered a factor that could work in Fulham's favour as talks develop.