The Premiership champions would prefer a straight cash deal for both players, who are surplus to requirements at Stamford Bridge, but will consider any proposal from Spurs to bring them to the negotiating table.
Chelsea are anxious to avoid another Premier League inquiry even though Spurs have not yet filed a formal complaint with the League over the loss of the club's sporting director.
Arnesen, who will be paid £1.5m a year in his new role, was said today to have found the offer of the job from Chelsea too good to refuse.
Talk of Parker joining Spurs will alarm Newcastle who thought they were closing in on a deal for the England midfielder.
One stumbling block for Tottenham will be his wages, which are £55,000-a-week. Newcastle on the other hand are prepared to meet those demands.
Everton had been leading the race to sign Forssell, but Newcastle, Blackburn Rovers and Portsmouth are also interested in the Finland international striker.
