The 33-year-old former Manchester United and Everton captain, speaking in an interview with CNN World Sport released on Tuesday, said he was not a fading force and he could still compete against some of the world's best players.
The Eagles wanted to sign him in a £10m deal during the winter transfer window but his injury woes prevented the transfer from happening.
Otherwise United are likely to go with the same line-up which has served them well under Solskjaer to this point.
The Norwegian has excelled since succeeding Jose Mourinho on a caretaker basis, overseeing nine victories from 10 matches, and remaining undefeated to transform the club's season.
The Daily Star says Rashford is poised to more than double his wages with a £200,000-a-week deal plus bonuses that reflects his status as one of Europe's leading strikers. Only versus Arsenal (5) and Charlton (4) has Ranieri lost four consecutive Premier League games versus a single opponent.More news: Mavericks trading Harrison Barnes to Kings for Justin Jackson, Zach Randolph
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Having returned to boyhood club Everton for last season, the former England worldwide joined D.C United in Major League Soccer.
Claudio Ranieri does not think Fulham's upcoming clash with Manchester United is a foregone conclusion, pointing out the Red Devils' unbeaten run must end at some point.
If we expand this bracket out to include successive away wins in both league and cup, Solskjaer has the chance to win his sixth away match on the spin in all competitions this Saturday, something which has eluded United since the final stretch of the 2008/09 season.
It's the first time United have won four straight league away games since April 2017, a sequence of wins that had only occurred twice in the post-Ferguson era. "We must be concentrated and strong, positive to show our personality during the game".
"But decisions, sometimes of players' futures are not down to me, either".