Dean Henderson impressed on his Manchester United debut in EFL and former Scottish midfielder Darren Fletcher he can be good competition for David de Gea.
Solskjaer's appointment was described as designed to put a smile back on the face of everyone at the club after the confrontational end to Jose Mourinho's two-and-a-half years in charge.
Burnley were totally outplayed by Tony Pulis's rampant side and have still not won in the league at the Hawthorns since December 1969, losing on nine of their 10 visits since.
FIFA on Thursday launched a "disciplinary" case against England and Scotland for wearing poppy armbands in a tribute to British war dead.
Fletcher headed in a late winner as West Bromwich Albion moved further away from the drop zone by beating fellow struggler Newcastle 1-0 in the Premier League.
Fletcher signed a two-and-a-half-year contract with West Bromwich Albion with an option for another 12 months.
The 33-year-old Carrick, who joined United from Tottenham Hotspur in 2006, takes over as Wayne Rooney's deputy from Darren Fletcher.
The former Scotland captain has not represented his country since winning the last of his 61 caps in November 2012.
Fletcher was diagnosed with ulcerative colitis in 2011 and underwent surgery in January 2013 after the condition restricted him to just 20 club appearances in two seasons.
Defending champions United returned to winning ways with a 2-0 home victory over Swansea City on Saturday.
Darren Fletcher said after his return to the field, he did not know whether he would be able to live normally again as he battled with a debilitating medical condition.
He has missed most of the past two seasons, and last appeared for United's senior team on December 26 2012.
After going a goal down, Man United completed a second-half turnaround through Jonny Evans, Darren Fletcher and Chicharito.
"Chelsea have small, intricate players and they play killer passes. It will be tough," the United medio said ahead of the tie.
Fletcher's last appearance for Manchester United was November 22 last year.
Fletcher is taking a break from football after suffering from a chronic inflammatory bowel condition.
The Scotland international has been battling illness for the past year, and has now decided to take a rest.
Benfica clinched their place in the last-16 of the Champions League, holding United to a 2-2 draw at Old Trafford.
City handed Alex Ferguson his heaviest home defeat in 25 years in charge.