Virgil van Dijk claims he knows nothing of interest from English clubs and is keen to prove himself in the Champions League with Celtic.
QPR loanee Tom Carroll wants to "make it at Tottenham" but is prepared to consider all of his options at the end of the season.
The former England Under-19 international will spend an initial month with the Minstermen.
The 23-year-old right-back, yet to make his senior debut for Swansea, was signed from Welsh rivals Wrexham last year for £200,000.
Obeng becomes York's fifth recent signing following the arrivals of striker David McDaid from League Of Ireland Premier Division side Derry, teenager Jack O'Connell, on loan from Blackburn, fellow defender Jameel Ible, 19, from Salford City and striker Ben Everson from Icelandic side Breidablik.