Inter-county
Quaid's performances at club level brought him to the attentions of the inter-county selectors. He was passed over for inter-county duty on the Limerick minor team in 1973, however, he joined the side the following year as goalkeeper.[2] He spent an unsuccessful two-year spell with the Limerick minors. Quaid later joined the county under-21 hurling team, however, in spite of a disastrous Munster final appearance in 1977, he enjoyed little success.[6]
In 1975 Quaid joined the Limerick senior hurling team, making his debut in a National Hurling League quarter-final against Kilkenny.[2] The young goalkeeper, however, took stage fright and had a nightmare of a game. By 1976 Quaid had redeemed himself and took over from Séamus Horgan as first-choice goalkeeper for the championship.
Quaid's side contested the Munster final 1976, however, Cork were victorious on that occasion as Limerick went into decline.[7] They were completely trounced again in 1979 on a score line of 2–14 to 0–9 as Cork captured a record-equaling fifth Munster title in-a-row.[7]
In 1980 Cork were going for a sixth Munster Championship in succession. For the fourth time in six years Limerick provided the opposition in the provincial decider. After an exciting seventy minutes Cork's hopes were dashed by 2–14 to 2–10 as Quiad collected a first Munster winners' medal.[7] This victory allowed Limerick a save passage to the All-Ireland final where Galway were the opponents. Galway got off to a good start and took a 2–7 to 1–5 lead at half-time. Éamonn Cregan had other ideas and single-handedly launched the Limerick counter-attack. Over the course of the game he scored 2–7, including an overhead goal and a point in which he showed the ball to Conor Hayes and nonchalantly drove the ball over the bar. It was not enough to stem the tide and Galway went on to win the game.[8] It was the county's first All-Ireland title since 1923 and, ironically, Limerick were the defeated team on that occasion as well.
Limerick retained their provincial crown in 1981. Clare were defeated on that occasion by 3–12 to 2–9 giving Quiad his second Munster medal.[7] The subsequent All-Ireland semi-final saw Limerick take on Offaly. It was the first meeting of these two sides in the history of the hurling championship. In a low-scoring game both sides finished level and a replay was necessary. The second game took place a fortnight later at Croke Park and it turned out to be an exciting affair. Both sides upped their game, however, Limerick were still defeated by 4–16 to 2–17.
Following back-to-back Munster triumphs Limerick went into decline in the championship. Quaid's side did have some notable victories in the National League. In 1984 he won his first National League medal following a 3–16 to 1–9 victory over Wexford. The win was all the more special as it was the centenary year of the Gaelic Athletic Association. A second National League title was collected by Quaid in 1985 following a trouncing of Clare.
After some time out of the limelight Quaid won a third National League medal in 1992 following a one-point victory over Tipperary. Limerick later qualified for the Munster final, however, Cork were the victors on that occasion.[7] In spite of ending up on the losing side Quaid's championship performance earned him his first, and only, All-Star award.
Following the completion of the 1993 Munster championship Quaid decided to retire after 18 consecutive championship seasons as goalkeeper. He was replaced on the Limerick team by his cousin, Joe Quaid.