Neither player were included in Del Bosque's 30-man provisional World Cup squad.
Arbeloa was part of the Spain sides that have won back-to-back European Championships and the World Cup in the last six years, but the experienced full-back will not be going to Brazil this summer after being left out by coach Vicente del Bosque.
Arbeloa's club-mate Dani Carvajal has earned a spot, though, after impressing following his return to Madrid last summer.
Defenders: Cesar Azpilicueta (Chelsea), Gerard Pique (Barcelona), Sergio Ramos (Real Madrid), Jordi Alba (Barcelona), Alberto Moreno (Sevilla), Javi Martinez (Bayern Munich), Raul Albiol (Napoli), Juanfran (Atletico Madrid), Daniel Carvajal (Real Madrid)
Midfielders: Xavi (Barcelona), Xabi Alonso (Real Madrid), Andres Iniesta (Barcelona), Koke (Atletico Madrid), Sergio Busquets (Barcelona), Santi Cazorla (Arsenal), Ander Iturraspe (Athletic Bilbao), Cesc Fabregas (Barcelona), Thiago Alcantara (Bayern Munich), Juan Mata (Manchester United), David Silva (Manchester City)
Forwards: Pedro (Barcelona), Jesus Navas (Manchester City), Diego Costa (Atletico Madrid), David Villa (Atletico Madrid), Fernando Torres (Chelsea), Alvaro Negredo (Manchester City), Fernando Llorente (Juventus)