Shelbourne remained top of the table after a 1-0 win over St Patrick's Athletic.
The club made their move for the Dutchman to become Jurgen Klopp’s successor earlier this week.
Ireland host Hungary on Tuesday, June 4th at the Aviva Stadium in Dublin before flying to Aveiro to face Portugal a week later.
Rashford has managed just eight goals in 40 appearances for his boyhood club this season.
Forest are in the middle of a storm following their heavy-handed statement questioning the officiating in their 2-0 defeat at Everton.
The Feyenoord manager is the favourite to succeed Klopp at Anfield.
The champions were referred to an independent commission in February last year over alleged breaches of the Premier League’s financial rules.
The Argentina midfielder has been suffering for several weeks with a hernia
Kevin De Bruyne’s eye-catching diving header set City side on course for a comprehensive success.
The 45-year-old Dutch coach has emerged as a leading candidate to take over from Klopp, who will leave the Reds at the end of the season.