Kenyan international Mariga is available for transfer at Swedish club Helsingborg but British Home Office rules state an overseas player wishing to sign for a Premiership club must play for a country in the top 70 of the FIFA rankings - and Kenya are currently 124th.
Redknapp admits: "I don't think I'll be going for him. We wouldn't be able to get a permit."
Having signed centre-backs Sylvain Distin and Hermann Hreidarsson on free transfers and splashed a club record £7million on midfielder Sulley Muntari, Redknapp is now focused on more firepower.
After missing out on Mark Viduka, who joined Newcastle at the end of his Middlesbrough contract Redknapp has been linked with likes of Nicolas Anelka - who he tried to sign last summer - Henri Camara and QPR winger Lee Cook.
Now Toulouse winger Fode Mansare has been added to the list but Redknapp will not confirm his targets - or a report that he has bid £2million for Cook, 24.
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